Properties of the Number 27270

Twenty-Seven Thousand Two Hundred Seventy

Basics

Value: 27269 → 27270 → 27271

Parity: even

Prime: No

Previous Prime: 27259

Next Prime: 27271

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 101

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010000110

Octal: 65206

Duodecimal: 13946

Hexadecimal: 6a86

Square: 743652900

Square Root: 165.13630733427462

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

Pentagonal numbers > 0 which are not the difference of two larger pentagonal numbers. A136113

Pentagonal numbers > 0 which are not the difference of two other pentagonal numbers > 0. A135769

Pentagonal numbers (A000326) in which parity of digits alternates. A297644

Pentagonal numbers that are abundant. A379264

Number of (w,x,y) with all terms in {0,...,n} and w<=x+y and x<=y. A212983

a(n) = 3·n*(9·n - 1)/2. A268351

Coefficients of Jacobi cusp form of index 1 and weight 10. A3784

a(n) = (A001359(n+1)² - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822). A308344

Number of regions in a regular n-gon with all diagonals drawn whose edges all have the same number of facing edges. A351129

Numbers k that divide φ(k)² + σ(k)². A68484