Properties of the Number 65780

Sixty-Five Thousand Seven Hundred Eighty

Basics

Value: 65779 → 65780 → 65781

Parity: even

Prime: No

Previous Prime: 65777

Next Prime: 65789

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 11 × 13 × 23

Divisors: 1, 2, 4, 5, 10, 11, 13, 20, 22, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011110100

Octal: 200364

Duodecimal: 32098

Hexadecimal: 100f4

Square: 4327008400

Square Root: 256.4761197460692

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

4-dimensional figurate numbers: a(n) = (6·n-2)*binomial(n+2,3)/4. A2419

Triangle, read by rows, where T(n,k) = C(n*(n-1)/2-k*(k-1)/2+n-k+1,n-k). A107867

Expansion of g.f. x*(1 + x)*(1 + 6·x + x²)/(1 - x)⁷. A6858

a(n) = C(5·n+1,n). A79589

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

Binomial coefficients C(2·n-4,5). A53127

Expansion of ∑_k>0 x^2·k/(1-x^k)⁶. A363606

Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k, n-k), for n>=k>=0. A121334

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