Properties of the Number 12740

Twelve Thousand Seven Hundred Forty

Basics

Value: 12739 → 12740 → 12741

Parity: even

Prime: No

Previous Prime: 12739

Next Prime: 12743

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 7 ² × 13

Divisors: 1, 2, 4, 5, 7, 10, 13, 14, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111000100

Octal: 30704

Duodecimal: 7458

Hexadecimal: 31c4

Square: 162307600

Square Root: 112.8716084761797

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

Numbers n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Expansion of 1/((1+x)*(1-x)⁵). A1752

Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts. A350947

Heinz numbers of integer partitions with as many even parts as odd parts and as many even conjugate parts as odd conjugate parts. A350946

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

Successive integers produced by Conway's PRIMEGAME. A7542

a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)]. A138989

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(1,1), d=(1,-2) and have k peaks (i.e., ud's). A108767

a(n) = n²*(n² - 1)/3. A112742