Properties of the Number 10800

Ten Thousand Eight Hundred

Basics

Value: 10799 → 10800 → 10801

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 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: 10101000110000

Octal: 25060

Duodecimal: 6300

Hexadecimal: 2a30

Square: 116640000

Square Root: 103.92304845413264

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

Smallest k such that σ(x) = k has exactly n solutions. A7368

Numbers with strictly decreasing prime exponents. A87980

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows. A157272

Square array A(row,col): A(row,1) = A273670(row-1), and for col > 1, A(row,col) = A153880(A(row,col-1)); Dispersion of factorial base left shift A153880. A276955

Numbers in which 0 outnumbers all other digits together. A292730

a(n) = n! * C(n,2). A1804

a(n) = 12·n². A135453

Primorial inflation of Doudna-tree: a(0) = 1, a(1) = 2; for n > 1, if n is even, a(n) = A283980(a(n/2)), and if n is odd, then a(n) = 2·a((n-1)/2). A329886

Powerful numbers divisible by cubes of 2 distinct primes. A376936