
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
For a positive integer  $n$  write down all its positive divisors in increasing order:  $1=d_1<d_2<\ldots<d_k=n$ .
Find all positive integers  $n$  divisible by  $2019$  such that  $n=d_{19}\cdot d_{20}$ .

*(I. Gorodnin)*

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