Properties of the Number 33120

Thirty-Three Thousand One Hundred Twenty

Basics

Value: 33119 → 33120 → 33121

Parity: even

Prime: No

Previous Prime: 33119

Next Prime: 33149

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000101100000

Octal: 100540

Duodecimal: 17200

Hexadecimal: 8160

Square: 1096934400

Square Root: 181.9890106572372

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 unlabeled Euler graphs with n nodes; number of unlabeled two-graphs with n nodes; number of unlabeled switching classes of graphs with n nodes; number of switching classes of unlabeled signed complete graphs on n nodes; number of Seidel matrices of order n. A2854

Strongly refactorable numbers: numbers n such that if n is divisible by d, it is divisible by the number of divisors of d. A141586

a(n) = n·B(n), where B(n) are the Bell numbers, A000110. A70071

Numbers k such that σ(k) AND 3·k = 3·k, where AND is bitwise-and, A004198. A388022

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0. A267617

Triangle T(n,t) read by rows: the number of n X n {0,1} matrices with trace t where each row sum and each column sum is 3. A284990

a(n) = φ(n³ - 1)/3 where φ is A000010. A319213

Number of complete compositions of n whose multiplicities cover an initial interval of positive integers. A329748

Numbers k such that k is a multiple of A005940(k). A364546

Numbers k for which σ(k) >= 2·k and (σ(k) - 2·k) AND k = k, where AND is bitwise-and, A004198. A388026