5040

Number
$5040$ (five thousand and forty) is:


 * $2^4 \times 3^2 \times 5 \times 7$


 * The product of consecutive integers in $2$ different ways:
 * $5040 = 7 \times 6 \times 5 \times 4 \times 3 \times 2 = 10 \times 9 \times 8 \times 7$


 * The $7$th factorial after $1$, $2$, $6$, $24$, $120$, $720$:
 * $5040 = 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$


 * The $19$th highly composite number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$, $2520$:
 * $\map {\sigma_0} {5040} = 60$


 * The $19$th superabundant number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$, $2520$:
 * $\dfrac {\map \sigma {5040} } {5040} = \dfrac {19 \, 344} {5040} \approx 3 \cdotp 838$

Also see

 * 5040 is Product of Consecutive Numbers in Two Ways