Find a six-digit natural number that can only be written as 0 and 6 and is divisible by 90.
| July 11, 2021 | education
Since the required number is divisible by 90, it must end in zero;
A number is divisible by 9 if the sum of all its digits is divisible by 9;
Among the first five digits, there can be only three digits 6, they add up to the number 18, which is divisible by 9;
Possible numbers are as follows:
666000; 660600, 660060, 606600; 606060, 600660.
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