A divisor for a number is such a number that when on dividing the number given 0 as remainder. A prime
number is a natural number which has exactly 2 divisors i.e 1 and the number itself. Some examples of the prime
numbers are 2, 3, 5, 7 etc. whereas two numbers are said to be coprime with each other when they don't have
any common factors other than 1. The number of coprimes for a number X is the count of the numbers which
are less than the given number and is coprime with X. For example, the number of coprimes for 5 is 4.
If P is the smallest number such that each of its divisors are at least 15 numbers a part and P has exactly 3
divisors. What is the sum of digits of P?
9
12
17
19
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9 I think of so
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