Answer:
 8,999,999
Step-by-step explanation:
The sum of 3 consecutive integers will be 3 times the middle one. So, the cube will have factors of 3 and 100,000. The cube must have additional factors of 3² and 10, so will be 90×3×100,000 = 27,000,000.
Since the middle number is 9,000,000, the smallest number is 1 less:
 8,999,999
