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Problems
Contests
International Contests
Nordic
1996 Nordic
1
1
Part of
1996 Nordic
Problems
(1)
1996 divides x when sum of decimal digits of x is 1996
Source: Nordic Mathematical Contest 1996 #1
10/4/2017
Show that there exists an integer divisible by
1996
1996
1996
such that the sum of the its decimal digits is
1996
1996
1996
.
Integer
sum of digits
number theory