2520

Number
$2520$ (two thousand, five hundred and twenty) is:


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


 * and so is the lowest common multiple of all the digits from $1$ to $9$


 * The smallest EPORN:
 * $2520 = 210 \times 012 = 120 \times 021$


 * The $6$th and last special highly composite number after $1$, $2$, $6$, $12$, $60$


 * The $18$th highly composite number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$:
 * $\map \tau {2520} = 48$


 * The $18$th superabundant number after $1$, $2$, $4$, $6$, $12$, $24$, $36$, $48$, $60$, $120$, $180$, $240$, $360$, $720$, $840$, $1260$, $1680$:
 * $\dfrac {\map \sigma {2520} } {2520} = \dfrac {9360} {2520} \approx 3 \cdotp 714$


 * The sum of $4$ of its divisors in $6$ different ways:

Also see

 * EPORN/Examples/2520


 * 2520 equals Sum of 4 Divisors in 6 Ways