240

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


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


 * The $29$th highly abundant number after $1, 2, 3, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 42, 48, 60, 72, 84, 90, 96, 108, 120, 144, 168, 180, 210, 216$:
 * $\sigma \left({240}\right) = 744$


 * The $12$th superabundant number after $1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180$:
 * $\dfrac {\sigma \left({240}\right)} {240} = \dfrac {744} {240} = 3 \cdotp 1$


 * The $9$th positive integer after $64, 96, 128, 144, 160, 192, 216, 224$ with $6$ or more prime factors:
 * $240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5$


 * 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