23689 (number)
23,689 (twentythree thousand six hundred eightynine) is an odd fivedigits prime number following 23688 and preceding 23690. In scientific notation, it is written as 2.3689 × 10^{4}. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 23,688 positive integers (up to 23689) that are relatively prime to 23689.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  23 thousand 689 

Full name  twentythree thousand six hundred eightynine 
Notation
Scientific notation  2.3689 × 10^{4} 

Engineering notation  23.689 × 10^{3} 
Prime Factorization of 23689
Prime Factorization 23689
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  23689  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  10.072766084358  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 23,689 is 23689. Since it has a total of 1 prime factor, 23,689 is a prime number.
Divisors of 23689
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  23690  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  11845  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  153.91231269785  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999155761925  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 23,689 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 23,689) is 23,690, the average is 11,845.
Other Arithmetic Functions (n = 23689)
φ(n)  Euler Totient  23688  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  23688  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2633  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 23,688 positive integers (less than 23,689) that are coprime with 23,689. And there are approximately 2,633 prime numbers less than or equal to 23,689.
Divisibility of 23689
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  1  1  1 
23,689 is not divisible by any number less than or equal to 9.
Classification of 23689
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (23689)
Base  System  Value 

2  Binary  101110010001001 
3  Ternary  1012111101 
4  Quaternary  11302021 
5  Quinary  1224224 
6  Senary  301401 
8  Octal  56211 
10  Decimal  23689 
12  Duodecimal  11861 
16  Hexadecimal  5c89 
20  Vigesimal  2j49 
36  Base36  ia1 
Basic calculations (n = 23689)
Multiplication
n×yn×2  47378 

n×3  71067 
n×4  94756 
n×5  118445 
Division
n÷yn÷2  11844.500 

n÷3  7896.333 
n÷4  5922.250 
n÷5  4737.800 
Exponentiation
n^{y}n^{2}  561168721 

n^{3}  13293525831769 
n^{4}  314910333428775841 
n^{5}  7459910888594270897449 
Nth Root
^{y}√n^{2}√n  153.91231269785 

^{3}√n  28.719854981771 
^{4}√n  12.406140120837 
^{5}√n  7.4973769312765 
23689 as geometric shapes
Circle
Radius = nDiameter  47378 

Circumference  148842.37674178 
Area  1762963531.318 
Sphere
Radius = nVolume  55683790791189 

Surface area  7051854125.2719 
Circumference  148842.37674178 
Square
Length = nPerimeter  94756 

Area  561168721 
Diagonal  33501.305079056 
Cube
Length = nSurface area  3367012326 

Volume  13293525831769 
Space diagonal  41030.551580499 
Equilateral Triangle
Length = nPerimeter  71067 

Area  242993184.09761 
Altitude  20515.27579025 
Triangular Pyramid
Length = nSurface area  971972736.39044 

Volume  1566657043587.1 
Height  19341.987505597 
Cryptographic Hash Functions
md5  b68a713024cffc3a59c2936e3bc3f6e8 

sha1  0f2c98ff62853d0596f541e75547da111dc25614 
sha256  fd899560dd106cb81f512672449e4fee071380c404c4d66f928787f3bc6328b7 
sha512  f171d85bb71556b03cd7d1c2a2615a24e754e2039f8024120f0b8be44cb9d2eb85dedb072a80ff50b6da7307ab4a34f8c531403647e203d652d233c252e81d6c 
ripemd160  4950fe68f5eb462d60cbde746907ea55fc42b474 