Properties of the Number 11160

Eleven Thousand One Hundred Sixty

Basics

Value: 11159 → 11160 → 11161

Parity: even

Prime: No

Previous Prime: 11159

Next Prime: 11161

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 31

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110011000

Octal: 25630

Duodecimal: 6560

Hexadecimal: 2b98

Square: 124545600

Square Root: 105.64090116995405

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 irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras. A1692

Table T(n,k) read by downward antidiagonals: number of Lyndon words (aperiodic necklaces) with n beads of k colors, n >= 1, k >= 1. A74650

a(n) = n * σ(A003961(n)), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341528

Square array read by descending antidiagonals: T(n,k) is the number of n-bead necklaces of k colors not allowing reversal, with no adjacent beads having the same color (n, k >= 1). A208535

a(n) = n*(11·n+1)/2. A22269

Table T(n,k) by antidiagonals: T(n,k) = number of partitions of n balls of k colors. A75196

Matrix inverse of triangle A022166. A135950

When expressed in base 3 and then interpreted in base 8, is a multiple of the original number. A62889

Number of 7-bead necklaces of n colors not allowing reversal, with no adjacent beads having the same color. A208537

Number of ways to write n as an ordered sum of 10 squares of positive integers. A340947