Properties of the Number 66528

Sixty-Six Thousand Five Hundred Twenty-Eight

Basics

Value: 66527 → 66528 → 66529

Parity: even

Prime: No

Previous Prime: 66523

Next Prime: 66529

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001111100000

Octal: 201740

Duodecimal: 32600

Hexadecimal: 103e0

Square: 4425974784

Square Root: 257.93022312245614

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

Unitary harmonic numbers (those for which the unitary harmonic mean is an integer). A6086

Numbers k such that 2k-1 divides 2^k-1. A81856

Principal diagonal of the convolution array A213819. A213820

Numbers that are equal to the product of the number of divisors of their first k powers, for some k. A270713

A multiplicative encoding for the exponents of 2 obtained when using Shevelev's algorithm for computing A002326. A292239

Numbers k for which A354102(k) = A354102(σ(k)). A354106

Numbers n such that σ(n) = 14*φ(n) (where σ=A000203, φ=A000010). A171259

Triangle T(n, k) = (2·k/(k+1))*binomial(n-1, k)*binomial(n+1, k) with T(n, 0) = T(n, n) = 1, read by rows. A174117

Numbers k such that k divides σ(3·k). A227303

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 6. A264728