Properties of the Number 40560

Forty Thousand Five Hundred Sixty

Basics

Value: 40559 → 40560 → 40561

Parity: even

Prime: No

Previous Prime: 40559

Next Prime: 40577

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 13 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111001110000

Octal: 117160

Duodecimal: 1B580

Hexadecimal: 9e70

Square: 1645113600

Square Root: 201.39513400278568

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 ways to place 2 nonattacking kings on an n X n board. A61995

Number of integer compositions of n whose leaders of strictly decreasing runs are weakly increasing. A374764

Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k. A62930

a(n) = 8·7*6·5*4·3*2·1 + 16·15·14·12·11·10·9 + ... + (up to the n-th term). A319872

Areas A of the triangles such that A, the sides and the three altitudes are integers. A210643

Number of triples (w,x,y) with all terms in {0,...,n} and w >= floor((x+y)/3). A212972

Area A of the cyclic quadrilaterals PQRS with PQ>=QR>=RS>=SP, such that A, the sides, the radius of the circumcircle and the two diagonals are integers. A219225

Integer areas A of integer-sided cyclic quadrilaterals such that the length of the circumradius is a perfect square. A233315

G.f.: A(x) = x/(1-x) o x/(1-x²) o x/(1-x⁴) o x/(1-x⁸) o..., composition of functions x/(1 - x^2ⁿ) for n=0,1,2,3,... A136752

E.g.f. satisfies: A(x) = x - log(1 - A(x)²). A213640