1036 = 22 x 7 x 37.
1036 is 4444 in base 6.
1036 is a divisor of 434 - 1.
1036 is the maximum number of regions into which 45 lines divide the plane.
1036 is the smallest number whose cube starts with four identical digits: 10363 = 1111934656.
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Source: Number Gossip
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