240

Number
$240$ (two hundred and forty) is:


 * $2^4 \times 3 \times 5$


 * The length of the longest edge of the smallest cuboid whose edges and the diagonals of whose faces are all integers:
 * The lengths of the edges are $44, 117, 240$
 * The lengths of the diagonals of the faces are $125, 244, 267$.

Also see

 * Cuboid with Integer Edges and Face Diagonals