### Playing With Numbers

goals
If n = 10800,
(a) Find total number of divisor of n.
(b) The number of even divisor.
(c) Find the number of divisor of the form 4m + 2.
(d) Find the number of divisor which are multiple of 15.
In the formula, $f=\frac{C}{L}$, if $C = 3 \times 10^{10}$ and $L = 6 \times 10^{-5},\, f =$
The least number which when divided by $5, 6, 7$ and $8$ leaves a remainder $3$ is