Properties of the Number 29720

Twenty-Nine Thousand Seven Hundred Twenty

Basics

Value: 29719 → 29720 → 29721

Parity: even

Prime: No

Previous Prime: 29717

Next Prime: 29723

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 743

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 743, 1486

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000011000

Octal: 72030

Duodecimal: 15248

Hexadecimal: 7418

Square: 883278400

Square Root: 172.3948955160796

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

Maximal coefficient of (1 + x²) * (1 + x³) * (1 + x⁵) * ... * (1 + x^prime(n)). A350457

Expansion of ∏_k>=1 ((1 + x^k)/(1 + x^3·k))^k. A263345

Number of solutions to +-2 +- 3 +- 5 +- 7 +- ... +- prime(n) = 0 or 1. A350404

Number of balanced quantales on n elements, up to isomorphism. A357295

Number of (n+1)X(1+1) 0..3 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise. A235426

Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal. A237333

θ series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3. A29720