Properties of the Number 12440

Twelve Thousand Four Hundred Forty

Basics

Value: 12439 → 12440 → 12441

Parity: even

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 311

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 311, 622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010011000

Octal: 30230

Duodecimal: 7248

Hexadecimal: 3098

Square: 154753600

Square Root: 111.53474794878949

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

Partial sums of A001157: ∑_j=1..n sigma₂(j). A64602

Expansion of e.g.f. exp(-x - (1/2)*x²). A1464

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero. A200165

Triangle, read by rows, that transforms diagonals in the array A274390 of coefficients in successive iterations of Euler's tree function (A000169). A274570

G.f.: 1/(1 - x/(1+2·x - x³/(1+2·x² - x⁵/(1+2·x³ - x⁷/(1+2·x⁴ - x⁹/(1 - ...)))))), a continued fraction. A275761

Number of Young tableaux with n cells whose shape is symmetric. A67136

a(n) = A030068(4n+3). A169740

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w³<=x³+y³. A211807

a(n) = n*(n+1)*(22·n-19)/6. A256716

Numbers k such that k and k+1 both have 16 divisors. A274359