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1×2,2×3,3×4,…,n×(n+1) \large 1 \times 2,2 \times 3,3 \times 4, \ldots , n \times (n+1)1×2,2×3,3×4,…,n×(n+1)
For some integer nnn, if the sum of the last digits of all of the numbers given above equals to 2010, find the sum of all the possible values of nnn.
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