Properties of the Number 66880

Sixty-Six Thousand Eight Hundred Eighty

Basics

Value: 66879 → 66880 → 66881

Parity: even

Prime: No

Previous Prime: 66877

Next Prime: 66883

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 5 × 11 × 19

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 19, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010101000000

Octal: 202500

Duodecimal: 32854

Hexadecimal: 10540

Square: 4472934400

Square Root: 258.6116780039138

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

Expansion of 1/theta₄(q)² in powers of q. A1934

Diagonal sums of number array A082105. A82107

Expansion of 1/theta₃(q)² in powers of q. A4403

Number of partitions of n into parts of 19 kinds. A23017

Expansion of g.f.: x⁴/((1+2·x) * (1-2·x+x²+2·x³)). A123957

a(n) = (2·n + 1)*(12 + 11·n + 93·n² + 4·n³)/3. A387439

T(n,k) = number of length-n 0..k arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..k. A215401

Biased numbers: n such that all terms of the sequence f(n), f(f(n)), f(f(f(n))), ..., 1, where f(k) = floor(k/2), are odd. A66880