And base-2, rather than the computer-unfriendly base-10. Aaaaactually ... with a bit of squinting the U. S. customary volume system(s) define a complete set of base-2 nouns (which could be used as prefixes):

    tbspn
    oz
    jill
    gill
    cup
    pint
    quart
    half
    gallon
    peck
    kenning
    bushel
    rundlet
    barrel
    hogshead
    butt
    tun

Where each item below the next item is exactly 2x the previous one. It turns out there's also some base-3 stuff (for measuring simplicity), like the teaspoon, etc.

I've always imagined we could redefine a few things to make a "completely rational" U.S. customary measure. That'd be:

    1 in == 2.5 centimeters (as Thomas Jefferson wanted)
    256 in^3 == 1 gallon (water at 32° F)

1 in is a bit awkwardly small. A cup-inch is ~1.3ft. A pint-inch is exactly .8125m. Luckily, a 'tun-tun-inch' (65536in) is 1.0343 miles, so we could define a a 'tun-tun-inch' to be a mile, etc., etc.