2016 is absolutely awesome 1
Algebra
Level
5
\[\left\lfloor\dfrac{2016}{\left\lfloor\dfrac{2016}{k}\right\rfloor}\right\rfloor=k\quad;\quad \left\lceil\dfrac{2016}{\left\lceil\dfrac{2016}{k}\right\rceil}\right\rceil=k\]
An integer \(1\le k\le 2016\) is called 2016-awesome if it satisfies the equations above.
Find the number of 2016-awesome numbers.
This is a part of the Set.
by
Khang Nguyen Thanh