If N and x are positive integers such that NN = 2160 and N2 + 2N is an integral multiple of 2x, then the largest possible x is
How many factors of 24 × 35 × 104 are perfect squares which are greater than 1?
Let n be the least positive integer such that 168 is a factor of 1134n. If m is the least positive integer such that 1134n is a factor of 168m, then m + n equals
The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is
The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is