Properties of the Number 15040

Fifteen Thousand Forty

Basics

Value: 15039 → 15040 → 15041

Parity: even

Prime: No

Previous Prime: 15031

Next Prime: 15053

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 5 × 47

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

2730 Try Today's Challenge

Representations

Binary: 11101011000000

Octal: 35300

Duodecimal: 8854

Hexadecimal: 3ac0

Square: 226201600

Square Root: 122.63767773404713

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,4,4,...) and super- and subdiagonals (1,1,1,...). A124575

Cluster series for square lattice. A3203

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with nonzero sum and with zero through n-1 differences all nonzero. A200165

Bisection of Lucas triangle A060922: odd-indexed members of column sequences of A060922 (not counting leading zeros). A60924

T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation. A229717

T(n,k)=Number of length-n 0..k arrays with every repeated value unequal to the previous repeated value plus one mod k+1. A269776

Indices of the least triangular numbers (A000217) for which three consecutive triangular numbers sum to a perfect square (A000290). A165517

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards. A205027

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,1,2,4 for x=0,1,2,3,4. A196218

Second convolution of Lucas numbers A000032(n+1), n >= 0. A60929