Properties of the Number 27135

Twenty-Seven Thousand One Hundred Thirty-Five

Basics

Value: 27134 → 27135 → 27136

Parity: odd

Prime: No

Previous Prime: 27127

Next Prime: 27143

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 67

Divisors: 1, 3, 5, 9, 15, 27, 45, 67, 81, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111111111

Octal: 64777

Duodecimal: 13853

Hexadecimal: 69ff

Square: 736308225

Square Root: 164.72704695950813

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 integer partitions of n containing all divisors of all parts. A371178

A sequence of asymptotic density ζ(10) - 1, where ζ is the Riemann ζ function. A143036

a(n) is the concatenation of n and 5n. A19553

Triangle read by rows in which row n gives coefficients of polynomial R_n(y) that satisfies R_n(1/3) = 3ⁿ, where R_n(y) forms the initial (n+1) terms of g.f. A057083(y)ⁿ⁺¹. A97186

G.f. satisfies A(x) = exp( ∑_k>=1 (2^k + A(x^k)) * x^k/k ). A362389

Numbers k such that the odd part of (1+k) divides (1 + odd part of A001615(k)), where A001615 is Dedekind's ψ-function. A387415

Array read by rows: row n lists the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-j, 2j-i), as in A204154. A204155

Numbers k such that both k and k+1 are not exponentially squarefree numbers. A342188

Numbers n such that n and n+1 both have 20 divisors. A274361

p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = 1 - S³. A291723