MathNet 2016-part-03 — 184 problems (EN–VI) Question 63

Let $N$ be a natural number whose base-2016 representation is $A B C$. Working now in base-10, what is the remainder when $N-(A+B+C+k)$ is divided by $2015$, if $k \in \{1,2, \ldots, 2015\}$?