Properties of the Number 16416

Sixteen Thousand Four Hundred Sixteen

Basics

Value: 16415 → 16416 → 16417

Parity: even

Prime: No

Previous Prime: 16411

Next Prime: 16417

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000000100000

Octal: 40040

Duodecimal: 9600

Hexadecimal: 4020

Square: 269485056

Square Root: 128.12493902437572

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 S(n,k) by rows: coefficients of 6^(n-1/2)*(x^1/6*d/dx)ⁿ when n is odd, and of 6^n/2*(x^5/6*d/dx)ⁿ when n is even. A223172

Triangle S(n,k) by rows: coefficients of 6^n/2*(x^5/6*d/dx)ⁿ when n=0,2,4,6,... A223532

Number of polyforms with n cells on the faces of a rhombic triacontahedron up to rotation and reflection. A383490

28-gonal numbers: a(n) = n*(13·n - 12). A161935

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. A229586

Number of subsequences of {1..n} such that all differences of pairs of terms are distinct (i.e., number of Golomb rulers on {1..n}). A54578

Sum of terms in each group in A074147. A74149

Numbers k such that σ(k) AND 3·k = 3·k, where AND is bitwise-and, A004198. A388022

Sum of the prime parts in the partitions of n into 8 parts. A309469

Numbers n which when converted to base 7, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded. A91081