# Problem 516: 5-smooth totients
5-smooth numbers are numbers whose largest prime factor doesn't exceed
5. 5-smooth numbers are also called Hamming numbers. Let S(L) be the sum
of the numbers n not exceeding L such that Euler's totient function φ(n)
is a Hamming number. S(100)=3728. Find S(1012). Give your answer modulo
232.