6084

Number
$6084$ (six thousand and eighty-four) is:


 * $2^2 \times 3^2 \times 13^2$


 * The sum of the first $12$ cubes:
 * $6084 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 + 10^3 + 11^3 + 12^3$


 * The $30$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $1936$, $2304$, $2704$, $2916$, $3136$, $3600$, $3844$, $4096$, $4356$, $4624$, $4900$, $5184$, $5776$ to be the $\sigma$ (sigma) value of some (strictly) positive integer:
 * $6084 = \map \sigma {2250} = \map \sigma {3370} = \map \sigma {4054} = \map \sigma {4203} = \map \sigma {5065} = \map \sigma {5729}$


 * The $78$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $5041$, $5184$, $5329$, $5476$, $5625$, $5776$, $5929$
 * $6084 = 78 \times 78$