Properties of the Number 40180

Forty Thousand One Hundred Eighty

Basics

Value: 40179 → 40180 → 40181

Parity: even

Prime: No

Previous Prime: 40177

Next Prime: 40189

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 7 ² × 41

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110011110100

Octal: 116364

Duodecimal: 1B304

Hexadecimal: 9cf4

Square: 1614432400

Square Root: 200.44949488586894

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

Sum of the squarefree parts of the partitions of n into 5 parts. A309480

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

a(n) = [xⁿ] G(x)ⁿ, where G(x) = ∏_{k >= 1} ((1 + x^2·k)/(1 - x^k))^k². A380583

a(n) = 49*(n-1)*(n-2)/2. A27469

Smallest i such that there exists j such that i = x + y + z, j = x·y*z has exactly n solutions in positive integers x <= y <= z. A103277

Primes p such that x⁵ = 11 has no solution mod p. A40180

Number of tilings of a 6 X n rectangle using dominoes and right trominoes. A219989