102593 (number)
102,593 (one hundred two thousand five hundred ninetythree) is an odd sixdigits prime number following 102592 and preceding 102594. In scientific notation, it is written as 1.02593 × 10^{5}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 102,592 positive integers (up to 102593) that are relatively prime to 102593.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 20
 Digital Root 2
Name
Short name  102 thousand 593 

Full name  one hundred two thousand five hundred ninetythree 
Notation
Scientific notation  1.02593 × 10^{5} 

Engineering notation  102.593 × 10^{3} 
Prime Factorization of 102593
Prime Factorization 102593
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  102593  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.53852498327  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 102,593 is 102593. Since it has a total of 1 prime factor, 102,593 is a prime number.
Divisors of 102593
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  102594  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  51297  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  320.30142054009  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999805056826  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 102,593 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 102,593) is 102,594, the average is 51,297.
Other Arithmetic Functions (n = 102593)
φ(n)  Euler Totient  102592  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  102592  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9788  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 102,592 positive integers (less than 102,593) that are coprime with 102,593. And there are approximately 9,788 prime numbers less than or equal to 102,593.
Divisibility of 102593
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  3  5  1  1  2 
102,593 is not divisible by any number less than or equal to 9.
Classification of 102593
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (102593)
Base  System  Value 

2  Binary  11001000011000001 
3  Ternary  12012201202 
4  Quaternary  121003001 
5  Quinary  11240333 
6  Senary  2110545 
8  Octal  310301 
10  Decimal  102593 
12  Duodecimal  4b455 
16  Hexadecimal  190c1 
20  Vigesimal  cg9d 
36  Base36  275t 
Basic calculations (n = 102593)
Multiplication
n×yn×2  205186 

n×3  307779 
n×4  410372 
n×5  512965 
Division
n÷yn÷2  51296.500 

n÷3  34197.666 
n÷4  25648.250 
n÷5  20518.600 
Exponentiation
n^{y}n^{2}  10525323649 

n^{3}  1079824529121857 
n^{4}  110782437916198675201 
n^{5}  11365502653136570684896193 
Nth Root
^{y}√n^{2}√n  320.30142054009 

^{3}√n  46.813657834717 
^{4}√n  17.8969667972 
^{5}√n  10.051330327638 
102593 as geometric shapes
Circle
Radius = nDiameter  205186 

Circumference  644610.83021948 
Area  33066279452.353 
Sphere
Radius = nVolume  4.5231584104737E+15 

Surface area  132265117809.41 
Circumference  644610.83021948 
Square
Length = nPerimeter  410372 

Area  10525323649 
Diagonal  145088.41200454 
Cube
Length = nSurface area  63151941894 

Volume  1079824529121857 
Space diagonal  177696.28850091 
Equilateral Triangle
Length = nPerimeter  307779 

Area  4557598831.5436 
Altitude  88848.144250457 
Triangular Pyramid
Length = nSurface area  18230395326.174 

Volume  1.2725854117227E+14 
Height  83766.833727118 
Cryptographic Hash Functions
md5  71624c4e08afff4f62ba025392e93582 

sha1  d7a78d58e9b06f178091b890dd341559112da374 
sha256  4ec450cd4aaed4c742eeea707b90801d3aed73205ac0839fb9766f6547199651 
sha512  26473a185fc37410c33b15cf15bccd9002343289fe275670c5db2712deed278464c34520a6a56f4167266bf23838873c0fe71d1e5e8875565d66ba0ff787ec90 
ripemd160  e248db131532bcf7daadaf729b69984d4a6679f7 