Properties of the Number 20500

Twenty Thousand Five Hundred

Basics

Value: 20499 → 20500 → 20501

Parity: even

Prime: No

Previous Prime: 20483

Next Prime: 20507

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ³ × 41

Divisors: 1, 2, 4, 5, 10, 20, 25, 41, 50, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000000010100

Octal: 50024

Duodecimal: BA44

Hexadecimal: 5014

Square: 420250000

Square Root: 143.17821063276352

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = (1/6)*(2·n - 3)*(n + 2)*(n + 1). A58373

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,1 for x=0,1,2,3,4. A196974

Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points. A123296

Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n. A90057

a(n) = (1/24)*n*(n + 5)*(n² + n + 6). A51743

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood. A283916

Numbers n such that n² + 1, n² + 3, n² + 7 and n² + 9 are all primes. A57015

Scaled g.f. T(u) = ∑_n>=0 a(n)*(u/16)ⁿ satisfies 5*(21·u-16)*T + d/du( 4·u*(u-1)*(27·u-32)*T') = 0, and a(0)=1; sequence gives a(n). A318495

Internal digits of n² include digits of n as subsequence. A46834

Numbers such that the sum of the factorials of the digits of the fifth power is a square. A126078