Properties of the Number 15400

Fifteen Thousand Four Hundred

Basics

Value: 15399 → 15400 → 15401

Parity: even

Prime: No

Previous Prime: 15391

Next Prime: 15401

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 ² × 7 × 11

Divisors: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000101000

Octal: 36050

Duodecimal: 8AB4

Hexadecimal: 3c28

Square: 237160000

Square Root: 124.09673645990857

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 partitions of { 1, 2, ..., 3n } into sets of size 3. A25035

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Square array read by antidiagonals downwards: T(n,k) = (n·k)!/(k!ⁿ*n!), (n>=1, k>=1), the number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box. A60540

Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion. A134685

Triangular numbers that are the product of two triangular numbers greater than 1. A188630

Number of subsets of {1..n} with a subset summing to n. A365376

Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31174

Triangle read by rows: T(n,k) = number of AVL trees of height n with k (leaf-) nodes, n>=0, fibonacci(n+2)<=k<=2ⁿ. A143897

Triangle read by rows: T(n,k) is the number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3n). A144385

Triangle of Stirling numbers of order 3. A59022