Properties of the Number 36080

Thirty-Six Thousand Eighty

Basics

Value: 36079 → 36080 → 36081

Parity: even

Prime: No

Previous Prime: 36073

Next Prime: 36083

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 5 × 11 × 41

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000110011110000

Octal: 106360

Duodecimal: 18A68

Hexadecimal: 8cf0

Square: 1301766400

Square Root: 189.94736112934027

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

a(n) = (n+1)*(n-2)*(n-3)/2. A212343

a(n) = 4·n*(n² + 2)/3. A217873

Numbers k such that A011772(k) > A344878(k) and A011772(k) is a divisor of A344875(k). A344595

a(n) = ∑_k=0..n floor(sqrt(k))⁵. A363499

Expansion of (1/x) * Series_Reversion( x * (1-x-x⁴/(1-x)) ). A367317

Number of 6-element subsets of {1, 2, ..., n} having pairwise coprime elements. A186982

Numbers k, not powers of primes, for which A011772(k) divides A344875(k), and for all proper divisors d of k, A011772(d) < A011772(k). A344694

a(n) = 361·n² - 2·n. A158307

Number of multisets of exactly six nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A294008

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (primes). A24478