Properties of the Number 64800

Sixty-Four Thousand Eight Hundred

Basics

Value: 64799 → 64800 → 64801

Parity: even

Prime: No

Previous Prime: 64793

Next Prime: 64811

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ⁴ × 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

Today's Target

7925 Try Today's Challenge

Representations

Binary: 1111110100100000

Octal: 176440

Duodecimal: 31600

Hexadecimal: fd20

Square: 4199040000

Square Root: 254.55844122715712

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 line segments (or edges) in regular n-gon with all diagonals drawn. A135565

Denominators of Blandin-Diaz compositional Bernoulli numbers (B^Z^2)_1,n. A132099

Table read by antidiagonals where A(n,k) is the number of n X k aperiodic binary arrays. A323860

a(n) = φ(10ⁿ-1), where φ is Euler's totient function (A000010). A295503

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

Number of ways to place 2 nonattacking queens on an n X n toroidal board. A172517

Set of positions of first appearances in A382857 (permutations of prime indices with equal run-lengths). A382878

Positive integers k = p₁^e_1·p₂^e_2·p₃^e_3, such that the points (p₁, e₁), (p₂, e₂) and (p₃, e₃) lie on a straight line with nonzero slope. A389340

Numbers k such that the square of d(k) (number of divisors) divides k. A46754

Let df(n,k) = ∏_i=0..k-1 (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)²*(2·n-m)/((m-1)!*m!). Sequence gives P(4,n). A132458