What is the smallest positive integer that has exactly 2000 divisors? Thank you.
2,000==2 , 2 , 2 , 2 , 5 , 5 , 5 , Total primes factors== 7
2^4 * 3^4 * 5^4 * 7 * 11 * 13 * 17 >> 13,783,770,000 >>== 2000 >>=divisors