# What's that Number?

Number Theory Level pending

There is a number $$abcabc$$, which has two sets of three consecutive factors {u, v, w}, and {x, y, z}. Each opposite pair of factors sums to 20, that is, $$u + z = 20$$, $$v + y = 20$$, and $$w + x = 20$$. If a, b, and c are all even digits, and no number in the set ($$a, b, c$$) is repeated, what is the value of $$abcabc$$?

Note: $$abcabc$$ represents a six digit number with digits $$a$$, $$b$$ and $$c$$, not $$a \times b \times c \times a\times b \times c$$. For consecutive factors, $$u + 1 = v$$, $$x + 1 = y$$, etc.

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