Properties of the Number 68112

Sixty-Eight Thousand One Hundred Twelve

Basics

Value: 68111 → 68112 → 68113

Parity: even

Prime: No

Previous Prime: 68111

Next Prime: 68113

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 11 × 43

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101000010000

Octal: 205020

Duodecimal: 33500

Hexadecimal: 10a10

Square: 4639244544

Square Root: 260.98275805117856

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 each row and column divisible by 5, read as a base-3 number with top and left being the most significant digits. A263224

a(n) = n*(n+1)*(4·n+1)/2. A135713

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

Expansion of e.g.f. ∑_k>=1 prime(k)*log(1 + x)^k/k!. A307772

a(n) = 81·n² - 9. A157909

Primitive terms of A388022: numbers k that satisfy σ(k) AND 3·k = 3·k, but none of whose proper divisors satisfy the same condition. A388025

a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n³ + n² + n + 1. A227015

Number of n X 5 binary arrays without the pattern 0 1 diagonally or antidiagonally. A188820

Number of (n+1)X(2+1) 0..2 arrays with each row and column divisible by 5, read as a base-3 number with top and left being the most significant digits. A263218

Number of (n+1)X(7+1) 0..2 arrays with each row and column divisible by 5, read as a base-3 number with top and left being the most significant digits. A263223