Norbert Wiener is a mathematican who founded cybernetics (theory of control). At the awarding ceremony of his Harvard university doctorate, a curious person asked his age. He said jokingly "The cube of my age is a 4-digit number, the power of four of my age is a 6-digit number and the two numbers use all the ten digits 0-9 which are not repeated and not left out". What was Norbert Wiener's age at that time?

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