Properties of the Number 27120

Twenty-Seven Thousand One Hundred Twenty

Basics

Value: 27119 → 27120 → 27121

Parity: even

Prime: No

Previous Prime: 27109

Next Prime: 27127

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 113

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111110000

Octal: 64760

Duodecimal: 13840

Hexadecimal: 69f0

Square: 735494400

Square Root: 164.6815108019112

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(0) = 1, a(1) = 5; for n > 1, a(n) = 6·n*a(n-1) + ∑_k=1..n-2 a(k)*a(n-k-1). A62980

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240394

Array read by antidiagonals: T(n,k) is the number of rooted k-regular combinatorial maps with n vertices, n >= 0, k >= 1. A380622

Number of quadrilaterals in the graph formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A332607

E.g.f. satisfies: A(x)^A(x³) = 1/(1 - x). A349653

a(n) = n*(n+1)*(n²+1)/2. A71237

a(n) = n*(n²+4). A155965

Number of finite, negative, totally ordered monoids of size n (semigroups with a neutral element that is also the top element). A253950

Number of points on surface of 4-dimensional cube. A8511

a(n)/binomial(n,2)! is the probability that the minimum spanning tree of the complete graph of n vertices with i.i.d. random edge weights is a specific path. A374293