Properties of the Number 20455

Twenty Thousand Four Hundred Fifty-Five

Basics

Value: 20454 → 20455 → 20456

Parity: odd

Prime: No

Previous Prime: 20443

Next Prime: 20477

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 4091

Divisors: 1, 5, 4091, 20455

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111111100111

Octal: 47747

Duodecimal: BA07

Hexadecimal: 4fe7

Square: 418407025

Square Root: 143.020977482326

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

Sum of 10 nonzero 8th powers. A3388

T(n,k) = count of degree k monomials in the power sum symmetric polynomials p(μ,k) summed over all partitions μ of n. A209664

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·5^j}). A373219

Number of partitions of n into 5 sorts of parts. A246937

a(n) = ∑_k=0..n floor(sqrt(k))⁵. A363499

Expansion of q / (χ(-q) * χ(-q³) * χ(-q⁵) * χ(-q¹⁵)) in powers of q where χ() is a Ramanujan θ function. A123632

Numbers whose Schwarzian arithmetic derivative is an integer. A209872

Odd numbers n containing 65536 as the highest power of 2 in their Collatz (3x+1) iteration. A247716

Number of (not necessarily maximal) cliques in the n-polygon diagonal intersection graph. A300524

Number A(n,k) of partitions of n into k sorts of parts; square array A(n,k), n>=0, k>=0, read by antidiagonals. A246935