Suppose an $M$-faced fair dice is tossed $N$ times. Whenever the dice is tossed, each face appears with probability $1/M$. After $N$ throws of the dice, let the expected value of minimum number obtained on the dice be E. Enter the value of $\lfloor E*10^6 \rfloor$ where $\lfloor \rfloor$ is greatest integer function.

Take $M$=$100$ and $N$=$20$.