Distinct consecutive sums!

1243+1244+1245++1882=1061288+1289+1290++1912=106\begin{aligned} 1243 + 1244 + 1245 + \cdots + 1882 &=& 10^6 \\ 1288 + 1289 + 1290 + \cdots + 1912 &=& 10^6 \end{aligned}

The above shows 2 ways to express 10610^6 as the sum of 2 or more consecutive positive integers.

How many other ways can we express 10610^6 as the sum of 2 or more consecutive positive integers?

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