Properties of the Number 15180

Fifteen Thousand One Hundred Eighty

Basics

Value: 15179 → 15180 → 15181

Parity: even

Prime: No

Previous Prime: 15173

Next Prime: 15187

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 11 × 23

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 11101101001100

Octal: 35514

Duodecimal: 8950

Hexadecimal: 3b4c

Square: 230432400

Square Root: 123.20714265009151

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

Sum of the first n even squares: a(n) = 2·n*(n+1)*(2·n+1)/3. A2492

Row sums of A168281. A168380

Triangle read by rows: T(n,k) is the number of c-nets with n+1 faces and k+1 vertices. A290326

Number of subsets S of {1,2,...,n} which contain a number that is greater than the sum of the other numbers in S. A95944

Number of compositions of n into 4 ordered relatively prime parts. A742

Expansion of hypergeom([3/2, 7/4, 2, 9/4], [7/3, 8/3, 3], (256/27)*x). A6633

Triangle, read by rows, where T(n,k) = C(C(n+2,3) - C(k+2,3), n-k) for n >= k >= 0. A126445

Number of odd-length integer partitions of n whose parts do not have the same mean as median. A359896

Consider coefficients U(m,L,k) defined by the identity ∑_k=1..L ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 3-column table read by rows, where the n-th row lists coefficients U(2,n,k) for k = 0, 1, 2; n >= 1. A316349