Properties of the Number 40188

Forty Thousand One Hundred Eighty-Eight

Basics

Value: 40187 → 40188 → 40189

Parity: even

Prime: No

Previous Prime: 40177

Next Prime: 40189

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 17 × 197

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110011111100

Octal: 116374

Duodecimal: 1B310

Hexadecimal: 9cfc

Square: 1615075344

Square Root: 200.46944904398774

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 of partitions of n having nonnegative even rank (the rank of a partition is the largest part minus the number of parts). A101709

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7. A264794

Number of integer-sided hexagons having perimeter n, modulo rotations but not reflections. A293823

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192959

G.f. A(x) satisfies the condition that both series_reversion(x/A(x))/x (cf. A120953) and series_reversion(x·A(x))/x (cf. A120954) have zeros for every other coefficient after initial terms. A120952

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood. A270948

a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) - (-1)ⁿ*a(n-2) + 2·a(n-3). A329301

Number of 2Xn arrays of permutations of 0..n·2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7. A264795

a(n) = 54·n² - 78·n + 36. A277983

a(n) = 21·2ⁿ + 10·4ⁿ + 15·3ⁿ + 3·6ⁿ + 6·5ⁿ + 7ⁿ + 28. A254464