Properties of the Number 45360

Forty-Five Thousand Three Hundred Sixty

Basics

Value: 45359 → 45360 → 45361

Parity: even

Prime: No

Previous Prime: 45343

Next Prime: 45361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁴ × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1011000100110000

Octal: 130460

Duodecimal: 22300

Hexadecimal: b130

Square: 2057529600

Square Root: 212.9788721915862

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

Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record. A2182

Number of permutations with given cycle structure, in the prime factorization order. A124795

a(n) = n³ - n². A45991

a(n) = n! + (n-1)!. A1048

Coefficient of p(y) / A056239(n)! in ∏_{i >= 1} (1 + x_i), where p is power-sum symmetric functions and y is the integer partition with Heinz number n. A319191

Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k). A244119

Denominator of ∑_k=0..n (-1)^k/k!. A53556

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731

Triangle read by rows: T(n,k) is the number of permutations of n elements that have the longest cycle length k. A126074

Coefficients for the commutator for the logarithm of the derivative operator [log(D),xⁿ Dⁿ]=d[(xD)!/(xD-n)!]/d(xD) expanded in the operators :xD:^k. A238363