# As simple as ABC

Number Theory Level 1

$\begin{array} { l l l l l } & & & & & 9 & 9 & 9 \\ \times & & & & & A & B & C \\ \hline & & D & E & F & 1 & 3 & 2 \\ \end{array}$

In this cryptogram, $$A,B,C,D,E$$ and $$F$$ are (not necessarily distinct) single digits. What is the value of $$A+B+C+D+E+F?$$

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