Question

no.of perfect cubes between 1 and 1000009 which are exactly divisible by 9

Answer 1

100^3= 100 00 00
the number of perfect cubes between 1 and 1000009 is 100.
From 1 to 100, 33 numbers ( like 3,6,9,...96,99) are divisible by 3 whose cube will be exactly divisible by 9.