Properties of the Number 36936

Thirty-Six Thousand Nine Hundred Thirty-Six

Basics

Value: 36935 → 36936 → 36937

Parity: even

Prime: No

Previous Prime: 36931

Next Prime: 36943

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁵ × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001001000

Octal: 110110

Duodecimal: 19460

Hexadecimal: 9048

Square: 1364268096

Square Root: 192.1874085365636

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 integer partitions of n that can be partitioned into sets with distinct sums. A381992

Numbers with prime factorization pq^3r^5. A190011

Expansion of ∏_k>=1 ((1 + x^2·k-1) / (1 - x^2·k-1))^2·k-1. A292038

Expansion of 1/2 * ∏_{i>=0, j>=0, k>=0} (1 + x^{i² + j² + k²}). A321381

Sums of 4 distinct powers of 8. A38486

Numbers k such that k = σ(φ(k) + π(k)). A97645

Triangle T(n, k, q) = c(n-1, q)*c(n, q)/(c(k-1, q)²*c(n-k, q)*c(n-k+1, q)*f(k, q)), where c(n, q) = ∏_j=1..n f(j, q), f(n, q) = q*(f(n-1, q) + f(n-2, q)), f(0, q) = 0, f(1, q) = 1, and q = 3, read by rows. A172376

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0. A33135

Number of permutations of 2..n+1 with no element divisible by an adjacent element. A178845

Base-8 analog of A208059. A212997