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Harshad n.  and  partition n.

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First numbers that belong to both sets:

1, 2, 3, 5, 7, 30, 42, 135, 792, 1002, 10143, 75175, 281589, 831820, 1121505, 1741630, 190569292, 3163127352, 4351078600, 4835271870.