Properties of the Number 65664

Sixty-Five Thousand Six Hundred Sixty-Four

Basics

Value: 65663 → 65664 → 65665

Parity: even

Prime: No

Previous Prime: 65657

Next Prime: 65677

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³ × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000010000000

Octal: 200200

Duodecimal: 32000

Hexadecimal: 10080

Square: 4311760896

Square Root: 256.24987804875144

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

Irregular triangle read by rows: T(n,k) = number of binary codes of length n with k words (n >= 0, 0 <= k <= 2ⁿ); also number of 0/1-polytopes with vertices from the unit n-cube; also number of inequivalent Boolean functions of n variables with exactly k nonzero values under action of Jevons group. A39754

Number of binary codes of length 5 with n words. A34190

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

a(n) = (2ⁿ + 2^[ n/2 ] )/2. A1445

Cubes written backwards. A4165

a(n) = 2²ⁿ + 2^n-1. A164051

Triangle read by columns: Distinct classifications of N elements containing exactly R binary partitions. A171872

Coordination sequence for D₄ lattice. A7900

Triangle read by rows: T(n,k) = number of arrangements of k non-attacking bishops on the white squares of an n X n board with every square controlled by at least one bishop (1<=k<n). A288182

Numbers k for which σ(k) >= 2·k and (σ(k) - 2·k) AND k = k, where AND is bitwise-and, A004198. A388026