N is a multiple of 2009 and the sum of its digits equals 2009
Source: 2009 Grand Duchy of Lithuania, Mathematical Contest p1 (Baltic Way TST)
October 3, 2020
number theorymultiplesum of digits
Problem Statement
The natural number is a multiple of and the sum of its (decimal) digits equals .
(a) Find one such number.
(b) Find the smallest such number.