Properties of the Number 62880

Sixty-Two Thousand Eight Hundred Eighty

Basics

Value: 62879 → 62880 → 62881

Parity: even

Prime: No

Previous Prime: 62873

Next Prime: 62897

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 131

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010110100000

Octal: 172640

Duodecimal: 30480

Hexadecimal: f5a0

Square: 3953894400

Square Root: 250.75884829851967

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

Sum of GCD of cycle lengths over all permutations of [n] with distinct cycle lengths. A382781

Values of z in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138669

a(n) = nonnegative value y such that (A155136(n), y) is a solution to the Diophantine equation x³+28·x² = y². A155138

Zero together with the numbers which can be written as a sum of distinct odd powers of 2. A62880

Expansion of g.f. A(x) satisfying A(x) = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (A(x)² + x^n-1)ⁿ⁺¹. A361770

The number of distinct decimal representations of integers embedded as slices in the decimal representation of n!. A348467