Problem #25

The integer 30 can be written as a sum of three consecutive positive integers:
30 = 9 + 10 + 11; moreover, it can be written as a sum of more than one consecutive positive integer in exactly three ways, namely
30 = 9 + 10 + 11 = 6 + 7 + 8 + 9 = 4 + 5 + 6 + 7 + 8.

Find an integer which can be written as a sum of 10 consecutive positive integers and which can be written as a sum of more than one consecutive positive integer in exactly 10 ways.