Properties of the Number 80730

Eighty Thousand Seven Hundred Thirty

Basics

Value: 80729 → 80730 → 80731

Parity: even

Prime: No

Previous Prime: 80713

Next Prime: 80737

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 13 × 23

Divisors: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011101101011010

Octal: 235532

Duodecimal: 3A876

Hexadecimal: 13b5a

Square: 6517332900

Square Root: 284.1302518212378

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

Binomial coefficients C(n,5). A389

Triangle, read by rows, where T(n,k) = C(n*(n-1)/2-k*(k-1)/2+n-k+2, n-k). A107870

Binomial coefficients C(2·n+5,5). A2299

a(n) = binomial(n, floor(n/5)). A51052

Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k + 1, n-k), for n>=k>=0. A121335

Number of subsets of [n] in which exactly half of the elements are powers of 2. A357812

a(n) is the number of incongruent two-color bracelets of n beads, 10 from them are black (A005515), having a diameter of symmetry. A189980

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+4,5). A344205

a(n) = binomial(n,22). A10975

Number of subsets of {1,2,...,n} in which exactly half of the elements are less than or equal to sqrt(n). A102366