20477 (number)
20,477 (twenty thousand four hundred seventyseven) is an odd fivedigits prime number following 20476 and preceding 20478. In scientific notation, it is written as 2.0477 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 20,476 positive integers (up to 20477) that are relatively prime to 20477.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  20 thousand 477 

Full name  twenty thousand four hundred seventyseven 
Notation
Scientific notation  2.0477 × 10^{4} 

Engineering notation  20.477 × 10^{3} 
Prime Factorization of 20477
Prime Factorization 20477
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  20477  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  9.9270575840486  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 20,477 is 20477. Since it has a total of 1 prime factor, 20,477 is a prime number.
Divisors of 20477
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  20478  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  10239  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  143.09786860747  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999023342123  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 20,477 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,477) is 20,478, the average is 10,239.
Other Arithmetic Functions (n = 20477)
φ(n)  Euler Totient  20476  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  20476  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2314  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 20,476 positive integers (less than 20,477) that are coprime with 20,477. And there are approximately 2,314 prime numbers less than or equal to 20,477.
Divisibility of 20477
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  2  5  2 
20,477 is not divisible by any number less than or equal to 9.
Classification of 20477
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (20477)
Base  System  Value 

2  Binary  100111111111101 
3  Ternary  1001002102 
4  Quaternary  10333331 
5  Quinary  1123402 
6  Senary  234445 
8  Octal  47775 
10  Decimal  20477 
12  Duodecimal  ba25 
16  Hexadecimal  4ffd 
20  Vigesimal  2b3h 
36  Base36  fst 
Basic calculations (n = 20477)
Multiplication
n×yn×2  40954 

n×3  61431 
n×4  81908 
n×5  102385 
Division
n÷yn÷2  10238.500 

n÷3  6825.666 
n÷4  5119.250 
n÷5  4095.400 
Exponentiation
n^{y}n^{2}  419307529 

n^{3}  8586160271333 
n^{4}  175818803876085841 
n^{5}  3600241646970609766157 
Nth Root
^{y}√n^{2}√n  143.09786860747 

^{3}√n  27.358279162883 
^{4}√n  11.962352135239 
^{5}√n  7.2820434522349 
20477 as geometric shapes
Circle
Radius = nDiameter  40954 

Circumference  128660.78553512 
Area  1317293452.7013 
Sphere
Radius = nVolume  35965624041286 

Surface area  5269173810.8052 
Circumference  128660.78553512 
Square
Length = nPerimeter  81908 

Area  419307529 
Diagonal  28958.851116714 
Cube
Length = nSurface area  2515845174 

Volume  8586160271333 
Space diagonal  35467.204386588 
Equilateral Triangle
Length = nPerimeter  61431 

Area  181565486.05604 
Altitude  17733.602193294 
Triangular Pyramid
Length = nSurface area  726261944.22416 

Volume  1011888692035.7 
Height  16719.400487657 
Cryptographic Hash Functions
md5  77d186b29f493dcc23d67842d66e75e4 

sha1  273200af76936238d511c8845ba977305121e263 
sha256  66c7bdf8734699724e85d64b4da813b0e879636ed9963daf4bf7fe8e01b74319 
sha512  84338a0123bfbabd0f137e75f72ec5cb8d520a59359cd96966130820a4965f33070290c7e84fb0f6ee8ddf4ed7ea624690bc78c1276d42140235cf16b73f250f 
ripemd160  7c0487ccfe1f5072491fc5696a6335c2c9071c21 