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Properties of the Number 5460

Five Thousand Four Hundred Sixty

Basics

Value: 5459 → 5460 → 5461

Parity: even

Prime: No

Previous Prime: 5449

Next Prime: 5471

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 2 × 3 × 5 × 7 × 13

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 13

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010101010100

Octal: 12524

Duodecimal: 31B0

Hexadecimal: 1554

Square: 29811600

Square Root: 73.89181280764467

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

Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n. A793
Numbers n such that n = product (pk)ck and set of its (ck k's)'s is a self-conjugate partition, where pk is k-th prime and ck > 0. A88902
Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534
Denominators of Cauchy numbers of first type. A6233
Number of strict integer partitions of n whose product of parts is a multiple of n. A379733
Numbers k such that k2 divides 11k - 1. A127092
3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741
Unitary harmonic numbers (those for which the unitary harmonic mean is an integer). A6086
a(n) = 2·n*(4·n + 1). A33585
Numbers that are divisible by exactly 5 different primes. A51270