IMO Shortlist 1998 problem N7
Dodao/la:
arhiva2. travnja 2012. Prove that for each positive integer
, there exists a positive integer with the following properties: It has exactly
digits. None of the digits is 0. It is divisible by the sum of its digits.
%V0
Prove that for each positive integer $n$, there exists a positive integer with the following properties: It has exactly $n$ digits. None of the digits is 0. It is divisible by the sum of its digits.
Izvor: Međunarodna matematička olimpijada, shortlist 1998
Školjka 
