Properties of the Number 13510

Thirteen Thousand Five Hundred Ten

Basics

Value: 13509 → 13510 → 13511

Parity: even

Prime: No

Previous Prime: 13499

Next Prime: 13513

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 7 × 193

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 193, 386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011000110

Octal: 32306

Duodecimal: 799A

Hexadecimal: 34c6

Square: 182520100

Square Root: 116.23252556836232

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

Weird numbers: abundant (A005101) but not pseudoperfect (A005835). A6037

Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188). A64114

G.f.: x*(1 - x + x²)/((1-x)² * (1 - x - x²)). A104161

Numbers k such that 5·2^k - 1 is prime. A1770

Number of integer partitions of n such that it is possible to choose a different constant integer partition of each part. A387330

Bi-unitary weird numbers: bi-unitary abundant numbers (A292982) that are not bi-unitary pseudoperfect (A292985). A292986

Infinitary weird numbers: infinitary abundant numbers (A129656) that are not infinitary pseudoperfect numbers (A306983). A306984

12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10·n-7)/6. A7587

Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge. A98498

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300881