Properties of the Number 27536

Twenty-Seven Thousand Five Hundred Thirty-Six

Basics

Value: 27535 → 27536 → 27537

Parity: even

Prime: No

Previous Prime: 27529

Next Prime: 27539

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 1721

Divisors: 1, 2, 4, 8, 16, 1721, 3442, 6884, 13768, 27536

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110010000

Octal: 65620

Duodecimal: 13B28

Hexadecimal: 6b90

Square: 758231296

Square Root: 165.93974810153233

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 k such that there is 1 prime between 100·k and 100·k + 99. A186393

Total sum of parts greater than 1 in all the partitions of n except one copy of the smallest part greater than 1 of every partition. A196025

Structured disdyakis dodecahedral numbers (vertex structure 5). A100163

Triangle of coefficients of polynomials u(n,x) jointly generated with A208930; see the Formula section. A208909

Number of inequivalent (ordered) solutions to n² = sum of 8 squares of integers >= 0. A65462

Number of (w,x,y,z) with all terms in {1,...,n} and w<|x-y|+|y-z|. A212692

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 3 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=floor(n/2), read by rows. A238009

Third column of A027518. A27536