PDS number:> a number whose product of digits is completely divisible by sum of its digits.(adsbygoogle = window.adsbygoogle || []).push({});

Now the series comes out to be: 1,2,3,4,5,6,7,8,9,10,20,22,30,36,40,44,50,60,63,66,70....... so on.

(1. Numbers from 1 to 10 are already divisible by themselves.

2. Then all the multiples of 22 follow the pds series completely.

3. And finally all the numbers which contains atleast one zero are also pds number).

I have to find the general term of this pds series so that i can find the nth pds number in a single shot.

Plz help in doing that as soon as possible.

Thanks in advance....

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# Finding nth PDS number

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