The number 12 is exactly divisible by six numbers (i.e. 1, 2, 3, 4, 6, and 12). The number 243 is also exactly divisible by six numbers (i.e. 1, 3, 9, 27, 81 and 243).

How many numbers in the range of 1-12000 are exactly divisible by six numbers?

Check:

There are 16 numbers in the range of 1-100

that are exactly divisible by

six numbers (i.e. 12, 18, 20, 28, 32, 44, 45, 50, 52, 63, 68, 75, 76,

92, 98 and 99).