Properties of the Number 14240

Fourteen Thousand Two Hundred Forty

Basics

Value: 14239 → 14240 → 14241

Parity: even

Prime: No

Previous Prime: 14221

Next Prime: 14243

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 5 × 89

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011110100000

Octal: 33640

Duodecimal: 82A8

Hexadecimal: 37a0

Square: 202777600

Square Root: 119.33147112141039

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

Square array T(n,k) (n >= 1, k >= 0) read by antidiagonals: coordination sequence for root lattice A_n. A103881

a(n) = n*(14·n-3). A185019

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A269011

Triangle of coefficients of polynomials defined by Binet form: P(n,x) = ((x + d)ⁿ - (x - d)ⁿ)/(2·d), where d = sqrt(x+4). A162517

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5·p-4, where a(i,p) satisfies ∑_i=1..n C(i+4,5)^p = 6·C(n+5,6) * ∑_i=1..5·p-4 a(i,p) * C(n-1,i-1)/(i+5). A87109

G.f. A(x) satisfies: A(x)^-4 + A(-x)^-4 = 2 and A(x)⁴ - A(-x)⁴ = 32·x. A196867

Irregular table read by rows: Take a decagon with all diagonals drawn, as in A333139. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A332417

Coordination sequence for A₅ lattice. A8385

Expansion of x²*(2-3·x)/(1-x-x²)². A191830

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(n,k) is the constant term in the expansion of (∑_j=0..n j*(x^j + x^-j))^k. A322549