Properties of the Number 5400

Five Thousand Four Hundred

Basics

Value: 5399 → 5400 → 5401

Parity: even

Prime: No

Previous Prime: 5399

Next Prime: 5407

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 ²

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: 1010100011000

Octal: 12430

Duodecimal: 3160

Hexadecimal: 1518

Square: 29160000

Square Root: 73.48469228349535

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

Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

a(n) = 6·n². A33581

Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x). A21009

a(1)=1, a(n) = n·a(floor(n/2)). A98844

Numbers that are the sum of 12 positive 7th powers. A3379

Number of integer compositions of n with the same length as their alternating sum. A357182

Bisection of A001400. A14125

a(n) = n! * n(n-1)/4. A1809

Powerful numbers that are the least integer of their prime signature. A181800