1560

1560 = 2 x 2 x 2 x 3 x 5 x 13.

1560 is a pronic number because it is the product of two consecutive integers (A002378): 1560 = 39 x 40.

1560 is 11000011000 in base 2 (binary). It can be expressed using only the digits 0, 1, and 2 in bases 2, 3, 4, 5, and 6. It is 3030 in base 8.

1560 is the maximum number of pieces into which a torus can be sliced using 20 cuts.

1560 is a number n such that 11n + 1 (A219257) and 21n + 1 (A219391) are squares: 11(1560) + 1 = 17161 = 131² and 21(1560) + 1 = 32761 = 181².

1560 is the number of ways, counted up to symmetry, to build a contiguous structure with 3 LEGO blocks of size 2 x 4 (A112389).

Source: Number Gossip