20807 (number)
20,807 (twenty thousand eight hundred seven) is an odd fivedigits prime number following 20806 and preceding 20808. In scientific notation, it is written as 2.0807 × 10^{4}. The sum of its digits is 17. It has a total of 1 prime factor and 2 positive divisors. There are 20,806 positive integers (up to 20807) that are relatively prime to 20807.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 17
 Digital Root 8
Name
Short name  20 thousand 807 

Full name  twenty thousand eight hundred seven 
Notation
Scientific notation  2.0807 × 10^{4} 

Engineering notation  20.807 × 10^{3} 
Prime Factorization of 20807
Prime Factorization 20807
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  20807  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  9.9430447475346  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 20,807 is 20807. Since it has a total of 1 prime factor, 20,807 is a prime number.
Divisors of 20807
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  20808  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  10404  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  144.2463171107  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999038831219  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 20,807 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,807) is 20,808, the average is 10,404.
Other Arithmetic Functions (n = 20807)
φ(n)  Euler Totient  20806  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  20806  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2347  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 20,806 positive integers (less than 20,807) that are coprime with 20,807. And there are approximately 2,347 prime numbers less than or equal to 20,807.
Divisibility of 20807
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  2  5  3  7  8 
20,807 is not divisible by any number less than or equal to 9.
Classification of 20807
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (20807)
Base  System  Value 

2  Binary  101000101000111 
3  Ternary  1001112122 
4  Quaternary  11011013 
5  Quinary  1131212 
6  Senary  240155 
8  Octal  50507 
10  Decimal  20807 
12  Duodecimal  1005b 
16  Hexadecimal  5147 
20  Vigesimal  2c07 
36  Base36  g1z 
Basic calculations (n = 20807)
Multiplication
n×yn×2  41614 

n×3  62421 
n×4  83228 
n×5  104035 
Division
n÷yn÷2  10403.500 

n÷3  6935.666 
n÷4  5201.750 
n÷5  4161.400 
Exponentiation
n^{y}n^{2}  432931249 

n^{3}  9008000497943 
n^{4}  187429466360700001 
n^{5}  3899844906567084920807 
Nth Root
^{y}√n^{2}√n  144.2463171107 

^{3}√n  27.504462085871 
^{4}√n  12.010258827798 
^{5}√n  7.3053645600391 
20807 as geometric shapes
Circle
Radius = nDiameter  41614 

Circumference  130734.23668649 
Area  1360093631.3679 
Sphere
Radius = nVolume  37732624250495 

Surface area  5440374525.4714 
Circumference  130734.23668649 
Square
Length = nPerimeter  83228 

Area  432931249 
Diagonal  29425.541592297 
Cube
Length = nSurface area  2597587494 

Volume  9008000497943 
Space diagonal  36038.781153086 
Equilateral Triangle
Length = nPerimeter  62421 

Area  187464729.86306 
Altitude  18019.390576543 
Triangular Pyramid
Length = nSurface area  749858919.45225 

Volume  1061603039504.5 
Height  16988.844359363 
Cryptographic Hash Functions
md5  52d08485cae5bcbcac0d3fbb2bee2703 

sha1  f61ddea6fee12c6fb88bc5e55909402d67ff397d 
sha256  24879beb3e8582d83587f068c24def863e29f99654ef72f143cef9f03f8bccbc 
sha512  c8b726bbea38496d5ea057ee09a9b89e37d3117f6a3326184439a28ccdebd854407797a2dacae830975894c997f5163f5092f24d13b2e093ceabe518f8acec86 
ripemd160  bfbb5198c2179dd7566a0d2cdc1851ba4a28b96d 