Properties of the Number 27600

Twenty-Seven Thousand Six Hundred

Basics

Value: 27599 → 27600 → 27601

Parity: even

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 23

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: 110101111010000

Octal: 65720

Duodecimal: 13B80

Hexadecimal: 6bd0

Square: 761760000

Square Root: 166.1324772583615

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

4-dimensional pyramidal numbers: a(n) = n²*(n²-1)/12. A2415

Number of incomplete integer partitions of n, meaning not every number from 0 to n is the sum of some submultiset. A365924

Triangle read by rows: T(n,k) = number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to k. A180281

Starting from generation 8 add previous and next term yielding generation 9. A48455

a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1. A96338

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n-1} k². A50410

Configurations of linear chains in a square lattice. A33323

Convolution triangle, read by rows, where diagonals are successive self-convolutions of A118346. A118349

Numbers with prime factorization pqr^2s^4. A190107

Semi-diagonal (one row below central terms) of pendular triangle A118345 and equal to the self-convolution of the central terms (A118346). A118347