Roman Number Lengths

1. What is the smallest valued number which can be written with N Roman Numerals (1<=N<=20)? Remember a bar over a number represents multiplication by 1000; don't count a bar as a numeral. For example:

   _
   X = 10,000, using 1 Roman Numeral.

2. What are the longest and largest numbers written with Roman Numerals with the restrictions of no bars allowed, and a maximum of one leading M.