Properties of the Number 27260

Twenty-Seven Thousand Two Hundred Sixty

Basics

Value: 27259 → 27260 → 27261

Parity: even

Prime: No

Previous Prime: 27259

Next Prime: 27271

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 29 × 47

Divisors: 1, 2, 4, 5, 10, 20, 29, 47, 58, 94

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001111100

Octal: 65174

Duodecimal: 13938

Hexadecimal: 6a7c

Square: 743107600

Square Root: 165.10602654052335

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

a(n) = ∑_{k=0..floor(n/3)} (-1)^k * binomial(n-1-2·k,n-3·k) * binomial(2·k,k). A360314

The number of permutations avoiding simultaneously consecutive patterns 123 and 231. A173938

G.f.: exp( ∑_n>=1 A132303(n)/3·xⁿ/n ), where A132303(n) = sum of the cubes of the trinomial coefficients in row n of triangle A027907. A251686

Inverse of number-theoretic triangle A109974. A109977

First differences of A161762. A162460

Totally multiplicative sequence with a(p) = 9p+2 for prime p. A166676

Number of n-node triangulations of the Klein bottle N₂ in which every node has degree >= 5. A129048

a(n) = ∑_k<=n A007955(k) * A007955(n-k+1), where A007955(m) = product of divisors of m. A174938

Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way. A308234

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207663