1200400

1200400 is a natural number. In prime factorization it equals 2^4 × 5^2 × 3001, or equivalently 400 × 3001. The factor 3001 is prime, so the number has three distinct prime factors: 2, 5, and 3001. Consequently, the total number of positive divisors is (4+1)(2+1)(1+1) = 30. The number is even and ends with two zeros, indicating it is divisible by 100; since the 2-adic exponent is 4, it is also divisible by 16 (N/16 = 75025 and N/100 = 12004). The digit sum is 1+2+0+0+4+0+0 = 7, so 3 does not divide 1200400.

As a divisor-structure example, any number of the form 2^a × 5^b × 3001^c with a ∈ {0,1,2,3,4}, b ∈ {0,1,2}, and c ∈ {0,1} divides 1200400. Notable divisors include 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400, 3001, 6002, 12004, and 1200400 itself. The sum of all divisors, known as the sigma function σ(n), equals 2,884,922.

In decimal form, the number is 1,200,400. Its factorization and divisor structure place it among integers that combine small prime powers with a relatively large prime factor.