Properties of the Number 87768

Eighty-Seven Thousand Seven Hundred Sixty-Eight

Basics

Value: 87767 → 87768 → 87769

Parity: even

Prime: No

Previous Prime: 87767

Next Prime: 87793

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 23 × 53

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101011011011000

Octal: 253330

Duodecimal: 42960

Hexadecimal: 156d8

Square: 7703221824

Square Root: 296.25664549508423

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

Number of ways to place n nonattacking composite pieces rook + rider[1,6] on an n X n chessboard. A189853

G.f.: A(x) = x + x·ITERATE²(x + x·ITERATE³(x + x·ITERATE⁴(x + x·ITERATE⁵(x + ...)))), where ITERATEⁿ(F(x)) denotes the n-th iteration of F(x), and the nested iterations continue indefinitely. A195192

McKay-Thompson series of class 14B for Monster. A58503

Expansion of q^-1 * (χ(-q) * χ(-q⁷))³ in powers of q where χ() is a Ramanujan θ function. A132319

McKay-Thompson series of class 28B for the Monster group. A112169

Minimal prime whose reversal is a multiple of n, or 0 if no such prime exists. A87768