
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine the smallest natural number that has exactly the following numbers of divisors: $2, 3, 4, 5, 6, 8, 10, 16, 36, 64, 100, 216, 1000, 1000000$. (The divisors include both 1 and the number itself. The numbers do not necessarily need to be written in the decimal system.)

Present the answer in LaTex format: \boxed{Your answer}
user