20593 (number)
20,593 (twenty thousand five hundred ninetythree) is an odd fivedigits prime number following 20592 and preceding 20594. In scientific notation, it is written as 2.0593 × 10^{4}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 20,592 positive integers (up to 20593) that are relatively prime to 20593.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 19
 Digital Root 1
Name
Short name  20 thousand 593 

Full name  twenty thousand five hundred ninetythree 
Notation
Scientific notation  2.0593 × 10^{4} 

Engineering notation  20.593 × 10^{3} 
Prime Factorization of 20593
Prime Factorization 20593
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  20593  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  9.9327064912053  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 20,593 is 20593. Since it has a total of 1 prime factor, 20,593 is a prime number.
Divisors of 20593
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  20594  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  10297  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  143.50261321662  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999028843352  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 20,593 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,593) is 20,594, the average is 10,297.
Other Arithmetic Functions (n = 20593)
φ(n)  Euler Totient  20592  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  20592  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2325  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 20,592 positive integers (less than 20,593) that are coprime with 20,593. And there are approximately 2,325 prime numbers less than or equal to 20,593.
Divisibility of 20593
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  6  1  1 
20,593 is not divisible by any number less than or equal to 9.
Classification of 20593
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (20593)
Base  System  Value 

2  Binary  101000001110001 
3  Ternary  1001020201 
4  Quaternary  11001301 
5  Quinary  1124333 
6  Senary  235201 
8  Octal  50161 
10  Decimal  20593 
12  Duodecimal  bb01 
16  Hexadecimal  5071 
20  Vigesimal  2b9d 
36  Base36  fw1 
Basic calculations (n = 20593)
Multiplication
n×yn×2  41186 

n×3  61779 
n×4  82372 
n×5  102965 
Division
n÷yn÷2  10296.500 

n÷3  6864.333 
n÷4  5148.250 
n÷5  4118.600 
Exponentiation
n^{y}n^{2}  424071649 

n^{3}  8732907467857 
n^{4}  179836763485579201 
n^{5}  3703378470458532486193 
Nth Root
^{y}√n^{2}√n  143.50261321662 

^{3}√n  27.409842486706 
^{4}√n  11.979257623769 
^{5}√n  7.2902752188825 
20593 as geometric shapes
Circle
Radius = nDiameter  41186 

Circumference  129389.63503075 
Area  1332260377.0941 
Sphere
Radius = nVolume  36580317260665 

Surface area  5329041508.3764 
Circumference  129389.63503075 
Square
Length = nPerimeter  82372 

Area  424071649 
Diagonal  29122.899889949 
Cube
Length = nSurface area  2544429894 

Volume  8732907467857 
Space diagonal  35668.122280266 
Equilateral Triangle
Length = nPerimeter  61779 

Area  183628410.52938 
Altitude  17834.061140133 
Triangular Pyramid
Length = nSurface area  734513642.11752 

Volume  1029183014999.4 
Height  16814.114091045 
Cryptographic Hash Functions
md5  92876ef2d2fb0dc247ca63781726025c 

sha1  f1e5f223f51698b6af80ab53bfe0e253f7b3cf0b 
sha256  18bf5867c2ba9c74813c8b8ca6c1e5eb80c9fce6b142176e5718c1b613b45cb2 
sha512  9a226e8fa54d1d47f4dcbf89fb54ebfeaa868a116d1e8910d6418c639ba2f5ab7478ac2ddd7fd3e2a2c91f6f273d97422d4ea9a5d1667372f224caf13cbed137 
ripemd160  f5c0380faa6ac07bb0ec62d83b2445c25b2a3195 