The integer
can be written as a sum of two consecutive integers:
Moreover, it can be written as a sum of (more than one) consecutive positive integers in exactly two ways:
Is there an integer that can be written as a sum of
consecutive integers and that can be written as a sum of (more than one) consecutive positive integers in exactly
ways?
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The integer $9$ can be written as a sum of two consecutive integers: $9 = 4+5.$ Moreover, it can be written as a sum of (more than one) consecutive positive integers in exactly two ways: $9 = 4+5 = 2+3+4.$ Is there an integer that can be written as a sum of $1990$ consecutive integers and that can be written as a sum of (more than one) consecutive positive integers in exactly $1990$ ways?