Properties of the Number 36512

Thirty-Six Thousand Five Hundred Twelve

Basics

Value: 36511 → 36512 → 36513

Parity: even

Prime: No

Previous Prime: 36497

Next Prime: 36523

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 7 × 163

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000111010100000

Octal: 107240

Duodecimal: 19168

Hexadecimal: 8ea0

Square: 1333126144

Square Root: 191.081134599939

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 the decimal expansions of both k and k² have 1 as smallest digit and 6 as largest digit. A257197

Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1. A35953

Numbers k such that the product of the digits of k is equal to the sum of the prime factors of k, counted with multiplicity. A65774

Number of (n+1) X (5+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235951

Specialization of the Elementary Symmetric Functions e(n) at x_i -> Euler φ(i). A379149

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock. A235954

Smallest square containing exactly n 5's. A36512

Number of n X 4 binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally. A181220