Properties of the Number 27089

Twenty-Seven Thousand Eighty-Nine

Basics

Value: 27088 → 27089 → 27090

Parity: odd

Prime: No

Previous Prime: 27077

Next Prime: 27091

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 103 × 263

Divisors: 1, 103, 263, 27089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111010001

Octal: 64721

Duodecimal: 13815

Hexadecimal: 69d1

Square: 733813921

Square Root: 164.58736281987143

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

Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have σ(a + b) = σ(k). A258843

Numbers k such that σ(k) divides σ(k+1), where σ(k) is sum of positive divisors of k. A58072

Numbers k such that sigma_odd(k) = sigma_odd(k+1), where sigma_odd(k) is the sum of the odd divisors of k (A000593). A164522

Numbers k such that σ(k+1) = 3 * σ(k). A77087

G.f.: 1/(1 - x/(1 - x³/(1 - x⁶/(1 - x¹⁰/(1 - x¹⁵/(1 - x²¹/(1 -...- x^n*(n+1/2)/(1 -...))))))), a continued fraction. A206740

Numbers k such that σ(triangular(k)) = σ(k)². A232355

Numbers k such that A113184(k) = A113184(k+1). A348585

a(n) = A027082(n, 2n-2). A27089