15004000

15004000 is a natural number that sits between 15003999 and 15004001. In decimal notation it ends with three zeros, indicating it is divisible by 1000. It can be written as the product 15004 × 1000 and has the prime factorization 2^5 × 5^3 × 11^2 × 31. This shows the number is even and composite.

As a factorization, 15004000 = 2^5 · 5^3 · 11^2 · 31; equivalently, it equals 32 × 125 × 121 × 31. From this factorization one can derive divisibility and structural properties. The number is divisible by 1000, and due to the 2^5 factor it is also divisible by 32, while the 5^3 factor makes it divisible by 125. These components contribute to its divisor structure and arithmetic behavior.

The number has 144 positive divisors, since the exponents in the prime factorization are 5, 3, 2, and 1, giving (5+1)(3+1)(2+1)(1+1) = 6·4·3·2 = 144. The sum of its divisors is 41,827,968. Relative to its size, 15004000 is an abundant number, because the sum of its proper divisors exceeds the number itself (the total sum of divisors is greater than 15,004,000).

In summary, 15004000 is an even, composite integer with a rich divisor structure (144 divisors), a substantial sum of divisors, and a factorization that highlights its divisibility by 1000, 32, and 125. Beyond its numerical properties, there is no widely recognized mathematical constant or named object associated with this exact value.