Properties of the Number 45920

Forty-Five Thousand Nine Hundred Twenty

Basics

Value: 45919 → 45920 → 45921

Parity: even

Prime: No

Previous Prime: 45893

Next Prime: 45943

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 5 × 7 × 41

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001101100000

Octal: 131540

Duodecimal: 226A8

Hexadecimal: b360

Square: 2108646400

Square Root: 214.289523775662

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

a(n) = binomial(2·n,n) mod ((n+1)*(n+2)*(n+3)). A65345

a(n) = 8·a(n-1) + 6·a(n-2), with a(0)=0, a(1)=1. A190560

a(n) = 2·n*(n+1)*(n+2)/3. A210440

Triangle read by rows: T(n,k) is number of noncrossing trees with n edges and having k nonroot nodes of degree 1. A101449

Row sums from A144562. A144640

Number of nonisomorphic proper colorings of partition multicycle graph using six colors. A298266

a(n) is the next number after a(n-1) which cannot be represented in the form 2·a(i) and ∑_j=1..n-1 b_j*a(j) where 0 < i < n, b_j = 1 or 0. The sequence starts: a(1) = 1; a(2) = 2; a(3) = 3; a(4) = 5. A331811

One-sixth of the area of some primitive Heronian triangles with a distance of 2n+1 between the median and altitude points on the longest side. A74076

Partial sums of the even triangular numbers (A014494). A352115

G.f. A(x) satisfies: x = ∑_n=-oo..+oo (-x)ⁿ * (1 + A(x)*xⁿ)ⁿ. A355869