Properties of the Number 67680

Sixty-Seven Thousand Six Hundred Eighty

Basics

Value: 67679 → 67680 → 67681

Parity: even

Prime: No

Previous Prime: 67679

Next Prime: 67699

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 47

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100001100000

Octal: 204140

Duodecimal: 33200

Hexadecimal: 10860

Square: 4580582400

Square Root: 260.1538006641456

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) = ∑_k=0..n binomial(n, floor(k/2))*3^n-k. A127359

A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x²/2]: P(x, n) = 2·x*P(x, n - 1) - n·P(x, n - 2) + 4·x³*P(x, n - 3)-n²*P(x, n - 4). A138092

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, -1), (1, -1, -1), (1, 0, 0)}. A148010

Numbers k such that σ(2k + 2) = 4k. A67680