All digits

Find a number such when the combined digits of its square and cube power include all the digits from 0 to 9, once.

For example, 19 doesn't work because 192 and 193 gives the digits 1, 3, 5, 6, 6, 8, 9. The digits 0, 2, 4, and 7 are missing and 6 is represented twice.

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