13501400

13501400 is a positive integer commonly written as 13,501,400. It is composite and has several nontrivial divisors.

Prime factorization: 13,501,400 = 2^3 × 5^2 × 11 × 17 × 19^2. From this, the number of positive divisors is (3+1)(2+1)(1+1)(1+1)(2+1) = 144.

Divisibility and base representations: It is divisible by 8, 25, and 100; in fact, 13,501,400 = 200 × 67,507. In hexadecimal, it is 0xCE03D8.

Sum of divisors and abundance: The sum of all positive divisors σ(n) = 38,267,640, so the sum of proper divisors is 24,766,240, which is greater than n; thus 13,501,400 is an abundant number.

Notes: There is no widely recognized constant or famous theorem associated with this number; it appears in arithmetic examples and can exemplify divisor function properties.