Properties of the Number 20412

Twenty Thousand Four Hundred Twelve

Basics

Value: 20411 → 20412 → 20413

Parity: even

Prime: No

Previous Prime: 20411

Next Prime: 20431

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁶ × 7

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111110111100

Octal: 47674

Duodecimal: B990

Hexadecimal: 4fbc

Square: 416649744

Square Root: 142.8705707974879

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

a(n) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-27·x). A170747

Third convolution of the powers of 3 (A000244). A27472

Cube of lower triangular normalized binomial matrix. A27465

Triangle read by rows: terms T(n,k) of a binomial decomposition of 2ⁿ-1 as Sum(k=0..n)T(n,k). A244125

Total number of parts in all partitions of n plus the sum of largest parts of all partitions of n. A211978

Triangle of coefficients in expansion of (1+3·x)ⁿ. A13610

Expansion of (1/theta₄ - 1)/2. A14968

a(n) = n³*∏_{distinct primes p dividing n} (1+1/p³). A65959

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980