Properties of the Number 19730

Nineteen Thousand Seven Hundred Thirty

Basics

Value: 19729 → 19730 → 19731

Parity: even

Prime: No

Previous Prime: 19727

Next Prime: 19739

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 1973

Divisors: 1, 2, 5, 10, 1973, 3946, 9865, 19730

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110100010010

Octal: 46422

Duodecimal: B502

Hexadecimal: 4d12

Square: 389272900

Square Root: 140.46351839534705

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

Number of permutations of [n] whose lengths of increasing runs are squares. A317129

G.f.: ∏_n>=1 (1 + A002203(n)*xⁿ + (-1)ⁿ*x^2·n) where A002203 is the companion Pell numbers. A204275

First differences of A307632. A348773

a(n) is the number of vertices formed by n-secting the angles of a decagon. A335801

a(n) = A348773(2·n). A348775

Numbers n such that 2·10ⁿ + 6·R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102957

Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207144

Number of (n+1) X 6 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207146

Number of (n+1) X 8 0..2 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A207148

Numbers n such that 123·2ⁿ-1 is prime. A50587