$9-10=$ Real Numbers List the elements of the given set that are
$$\begin{array}{l}{\text { (a) natural numbers }} \\ {\text { (b) integers }} \\ {\text { (c) rational numbers }} \\ {\text { (d) irrational numbers }}\end{array}$$
$\left\{1.3,1.3333 \ldots, \sqrt{5}, 5.34,-500,1 \frac{2}{3}, \sqrt{16, \frac{246}{579}},-\frac{20}{5}\right\}$