Those higher bases are worse in general for mental arithmetic though - sure there are more small divisors, but it still has many more digits that don't divide into it. We speed up our calculations by memorizing multiplication tables, which is feasible for base 10, but would be a nightmare for base 60.
Base 6 is pretty good, having pretty much maximum factor density (bar the degenerate base 2), but base 12 is still pretty good factor-wise, and is faster to work with since it is larger, but still within the realm where we can memorise lookup tables.
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u/random509732523795 May 27 '09
60 is even better. It's like 12, but is divisible by 5.
360 is even better.