Properties of the Number 20408

Twenty Thousand Four Hundred Eight

Basics

Value: 20407 → 20408 → 20409

Parity: even

Prime: No

Previous Prime: 20407

Next Prime: 20411

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2551

Divisors: 1, 2, 4, 8, 2551, 5102, 10204, 20408

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111110111000

Octal: 47670

Duodecimal: B988

Hexadecimal: 4fb8

Square: 416486464

Square Root: 142.85657142742858

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

Number of perfect-power divisors of n!. A336416

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260207

Numerators of continued fraction convergents to sqrt(193). A41358

Numbers k such that (3^k - 7)/2 is prime. A63679

Left part of the square of the n-th Kaprekar number. A194218

The number of overpartitions of n into parts congruent to 2, 4, or 5 modulo 6. A253136

Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260203

Number of (n+2) X (5+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260204

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 549", based on the 5-celled von Neumann neighborhood. A272844

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence). A24864