Properties of the Number 64560

Sixty-Four Thousand Five Hundred Sixty

Basics

Value: 64559 → 64560 → 64561

Parity: even

Prime: No

Previous Prime: 64553

Next Prime: 64567

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 269

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111110000110000

Octal: 176060

Duodecimal: 31440

Hexadecimal: fc30

Square: 4167993600

Square Root: 254.08659941051593

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally. A253314

Binomial transform of A026007. A294502

a(n) = A080315(n) - 2^A000523(A080315(n)), i.e., the terms of A080315 without their most significant bit. A80316

Number of acute isosceles triangles on an n X n grid. A190317

A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed. A83932

Number of functions f:{1,2,...,n}->{1,2,...,n} with all cycles of length >= 4. A208230

Consider the sequence {b(m)} of composite numbers (excluding 1); sequence gives values of b(m) where gcd(m, b(m)) increases. A58012

Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally. A253309

Number of nX6 0..1 arrays with every element equal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300087

Numbers k such that 385·2^k+1 is prime. A322998