Properties of the Number 45720

Forty-Five Thousand Seven Hundred Twenty

Basics

Value: 45719 → 45720 → 45721

Parity: even

Prime: No

Previous Prime: 45707

Next Prime: 45737

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 127

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010011000

Octal: 131230

Duodecimal: 22560

Hexadecimal: b298

Square: 2090318400

Square Root: 213.82235617446554

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

Smallest number having exactly n divisors that are not greater than the number's greatest prime factor. A87134

Number of nonnegative solutions of x1² + x2² + ... + x10² = n. A45852

Place two n-gons with radii 1 and 2 concentrically, forming an annular area between them. Connect all the vertices with line segments that lie entirely within that area. Then a(n) is the number of vertices in that figure. A337701

Numbers k such that A380845(k) > 3·k. A380930

Smallest number whose largest odd noncomposite divisor is its n-th divisor. A384232

Number of compositions of n where differences between neighboring parts are in {-2,...,2}. A214255

Number of strict integer compositions of n whose leaders of increasing runs are increasing. A376263

Numbers k such that the sum of the norm of divisors of k in Gaussian integers is divisible by k. A332736

Expansion of e.g.f. 1/(1 + (log(1 - x²))/x)³. A375807

Govindarajan's triangle F^{box 2} arising in enumeration of multi-dimensional partitions, read by rows. A216809