Properties of the Number 40068

Forty Thousand Sixty-Eight

Basics

Value: 40067 → 40068 → 40069

Parity: even

Prime: No

Previous Prime: 40063

Next Prime: 40087

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 53

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: 1001110010000100

Octal: 116204

Duodecimal: 1B230

Hexadecimal: 9c84

Square: 1605444624

Square Root: 200.16992781134732

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

Coefficients in expansion of E₆^1/2. A289293

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives y numbers. A125491

Principal diagonal of the convolution array A213819. A213820

Number of nonempty labeled simple graphs on nodes chosen from an n-set. A4140

Triangle T(n, k) = Eulerian(n+1, k)*Binomial(n+1, k)/(k+1), read by rows. A155467

Number of exact 3-colored partitions such that no adjacent parts have the same color. A262445

Convolution of odd numbers and primes. A23662

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..1 array extended with zeros and convolved with -1,2,-1. A222036

Number of 3 X 3 symmetric matrices with row and column sums <= n. A244865

Numbers that belong to at least one amicable tuple. A255215