Properties of the Number 78129

Seventy-Eight Thousand One Hundred Twenty-Nine

Basics

Value: 78128 → 78129 → 78130

Parity: odd

Prime: No

Previous Prime: 78121

Next Prime: 78137

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 8681

Divisors: 1, 3, 9, 8681, 26043, 78129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100110001

Octal: 230461

Duodecimal: 39269

Hexadecimal: 13131

Square: 6104140641

Square Root: 279.5156525134147

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

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = ∑_j=1..n gcd(j, n)^k. A343510

Number of 4-tuples of standard tableau with height less than or equal to 2. A129123

Total number A(n,k) of k-tuples of semi-Dyck paths from (0,0) to (n,n-2·j) for j=0..floor(n/2); square array A(n,k), n>=0, k>=0, read by antidiagonals. A357824

a(n) = 5ⁿ + 4. A242329

a(n) = ∑_k=1..n gcd(k, n)⁷. A343509

Numbers n which when expressed in base 16 are palindromes whose digit sum and digit product both divide n. A246337

Array T(n, k) = k^n-1 + (k-1)*cos(n*π/2), read by antidiagonals. A174006

Number of alternating permutations on 2n letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition). A217810

Numbers which cannot be written as sum of cubes > 1. A78129