
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
There are three consecutive even numbers whose product is a five-digit number. The number has a units digit of 0, a ten-thousands digit of 2, and the tens, hundreds, and thousands digits are three different numbers. What is the sum of these three consecutive even numbers?

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