Properties of the Number 5760

Five Thousand Seven Hundred Sixty

Basics

Value: 5759 → 5760 → 5761

Parity: even

Prime: No

Previous Prime: 5749

Next Prime: 5779

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 5

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: 1011010000000

Octal: 13200

Duodecimal: 3400

Hexadecimal: 1680

Square: 33177600

Square Root: 75.8946638440411

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(0) = 1; for n > 0, a(n) = (prime(n)-1)*a(n-1). A5867

Exponential Riordan array (1, x·cosh(x)). A185951

Irregular triangle of multinomial coefficients of integer partitions read by rows (in Abramowitz and Stegun ordering) giving the coefficients of the cycle index polynomials for the symmetric groups S_n. A36039

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

Jordan-Polya numbers: products of factorial numbers A000142. A1013

Numbers that are divisible by exactly 10 primes with multiplicity. A46314

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

a(n) = ∏_{p prime} p^{∑_k>=0 floor[(n-1)/((p-1)p^k)]}. A53657

Highly factorable numbers: numbers with a record number of proper factorizations. A33833

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