Properties of the Number 40689

Forty Thousand Six Hundred Eighty-Nine

Basics

Value: 40688 → 40689 → 40690

Parity: odd

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 137

Divisors: 1, 3, 9, 11, 27, 33, 99, 137, 297, 411

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111011110001

Octal: 117361

Duodecimal: 1B669

Hexadecimal: 9ef1

Square: 1655594721

Square Root: 201.71514568817088

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 T(n,k) of partitions of [n] having k blocks containing their own index when blocks are ordered with decreasing largest elements; triangle T(n,k), n>=0, 0<=k<=ceiling(n/2), read by rows. A350647

Coefficients in the expansion of ∏_m>=1 (1 - q^13·m)/(1 - q^m). A341714

Number of partitions of [n] avoiding blocks containing their own index when blocks are ordered with decreasing largest elements. A350649

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) * (1-x²⁴) * (1-x²⁷) * (1-x³⁰) * (1-x³³) / (1-x)¹¹. A162628

Let CK(m) denote the complete elliptic integral of the first kind. a(n) is the n-th smallest integer k such that floor(CK(1/k)) = floor(CK(1/(k-1))) + 1. A172259

Numbers whose digits are distinct nonprimes and are not a permutation of a smaller such number. A359982

Continued fraction for sqrt(716). A40689