20147 (number)
20,147 (twenty thousand one hundred fortyseven) is an odd fivedigits prime number following 20146 and preceding 20148. In scientific notation, it is written as 2.0147 × 10^{4}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 20,146 positive integers (up to 20147) that are relatively prime to 20147.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  20 thousand 147 

Full name  twenty thousand one hundred fortyseven 
Notation
Scientific notation  2.0147 × 10^{4} 

Engineering notation  20.147 × 10^{3} 
Prime Factorization of 20147
Prime Factorization 20147
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  20147  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  9.9108106729159  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 20,147 is 20147. Since it has a total of 1 prime factor, 20,147 is a prime number.
Divisors of 20147
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  20148  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  10074  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  141.94012822313  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999007345642  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 20,147 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,147) is 20,148, the average is 10,074.
Other Arithmetic Functions (n = 20147)
φ(n)  Euler Totient  20146  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  20146  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2281  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 20,146 positive integers (less than 20,147) that are coprime with 20,147. And there are approximately 2,281 prime numbers less than or equal to 20,147.
Divisibility of 20147
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  2  5  1  3  5 
20,147 is not divisible by any number less than or equal to 9.
Classification of 20147
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (20147)
Base  System  Value 

2  Binary  100111010110011 
3  Ternary  1000122012 
4  Quaternary  10322303 
5  Quinary  1121042 
6  Senary  233135 
8  Octal  47263 
10  Decimal  20147 
12  Duodecimal  b7ab 
16  Hexadecimal  4eb3 
20  Vigesimal  2a77 
36  Base36  fjn 
Basic calculations (n = 20147)
Multiplication
n×yn×2  40294 

n×3  60441 
n×4  80588 
n×5  100735 
Division
n÷yn÷2  10073.500 

n÷3  6715.666 
n÷4  5036.750 
n÷5  4029.400 
Exponentiation
n^{y}n^{2}  405901609 

n^{3}  8177699716523 
n^{4}  164756116188788881 
n^{5}  3319341472855529585507 
Nth Root
^{y}√n^{2}√n  141.94012822313 

^{3}√n  27.210517126705 
^{4}√n  11.913862859003 
^{5}√n  7.2584197117355 
20147 as geometric shapes
Circle
Radius = nDiameter  40294 

Circumference  126587.33438375 
Area  1275177512.9147 
Sphere
Radius = nVolume  34254668470256 

Surface area  5100710051.6587 
Circumference  126587.33438375 
Square
Length = nPerimeter  80588 

Area  405901609 
Diagonal  28492.160641131 
Cube
Length = nSurface area  2435409654 

Volume  8177699716523 
Space diagonal  34895.62762009 
Equilateral Triangle
Length = nPerimeter  60441 

Area  175760552.41549 
Altitude  17447.813810045 
Triangular Pyramid
Length = nSurface area  703042209.66196 

Volume  963751154010.12 
Height  16449.956615951 
Cryptographic Hash Functions
md5  9bc804e36dfda950c21b6022e67863ef 

sha1  85e32c288526fc2b24b0db665254c7f2b433a14e 
sha256  b5116aa2842920363b0453dc7b2506f2a18974ec5bc219ca64d9197efb50acd5 
sha512  84ead6c3c8d9a08186f1828171f359d0f4b1983fe665218a7b6bce9bbfcff4ae13dde52caffd32f9d413162f5e366b64ef3944b727cacca8da9b7db14a12ba0e 
ripemd160  0f2f2a5b4abef8b13d2e4e7d1f004932441dd12c 