Properties of the Number 36024

Thirty-Six Thousand Twenty-Four

Basics

Value: 36023 → 36024 → 36025

Parity: even

Prime: No

Previous Prime: 36017

Next Prime: 36037

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 19 × 79

Divisors: 1, 2, 3, 4, 6, 8, 12, 19, 24, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010111000

Octal: 106270

Duodecimal: 18A20

Hexadecimal: 8cb8

Square: 1297728576

Square Root: 189.79989462589276

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

Number of partitions of n into at least two parts such that the product of largest and smallest part does not exceed n. A116901

a(n) = 25·n² - 2·n. A154376

Sum of diagonal elements and those below it for a square matrix of integers, starting with 1. A66804

Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where n 2-colored objects are distributed into k containers of two kinds. Containers may be left empty. A383353

Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even. A36024