Properties of the Number 27268

Twenty-Seven Thousand Two Hundred Sixty-Eight

Basics

Value: 27267 → 27268 → 27269

Parity: even

Prime: No

Previous Prime: 27259

Next Prime: 27271

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 401

Divisors: 1, 2, 4, 17, 34, 68, 401, 802, 1604, 6817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010000100

Octal: 65204

Duodecimal: 13944

Hexadecimal: 6a84

Square: 743543824

Square Root: 165.13025161974412

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 that are the sum of 8 nonzero 8th powers. A3386

Let p = n-th irregular prime, A000928(n). Then a(n) = smallest value of m such that numerator(Bernoulli(2·m)/(2·m)) / numerator(Bernoulli(2·m)/(2·m*(2·m-1))) equals p. A92291

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w²>=x²+y². A211803

Expansion of (1 + x)² / ((1 - x)²*(1 + 2·x + 2·x²)²). A322040

a(n) = ∑_k=0..2n-1 T(n,k) * T(n,k+1), with T given by A026536. A27268

Numbers k such that A073734(k) is neither squarefree nor a prime power. A365899