Properties of the Number 46640

Forty-Six Thousand Six Hundred Forty

Basics

Value: 46639 → 46640 → 46641

Parity: even

Prime: No

Previous Prime: 46639

Next Prime: 46643

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 11 × 53

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011000110000

Octal: 133060

Duodecimal: 22BA8

Hexadecimal: b630

Square: 2175289600

Square Root: 215.9629597870894

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 integer partitions of n such that (length) * (maximum) >= 2·n. A361906

Monotonic ordering of nonnegative differences 6ⁱ-4^j, for 40>= i>=0, j>=0. A192164

Triangle of coefficients in g.f. A(x,y) which satisfies: A(x,y) = ∑_n>=0 xⁿ/(1 - x·y*A(x,y)ⁿ). A340910

a(n) = 64·n² - 16. A157913

a(n) = 729·n² - 2·n. A158394

Least number k > n - 2 such that k·n^k - 1 is prime. A327661

Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k DL's (n>=0; 0<=k<=floor(n/2)). A128731

E.g.f.: S(x) = Series_Reversion( Integral 1/(1-x³)^1/3 dx ), where the constant of integration is zero. A258878

a(n) = A045763(n) + 1. A46640