Naw, we should have used 420 to ensure we can also cleanly divide by 7.
Maybe even 1260 so we can fit a division by 9 in there (420 already has 3 as a prime factor, so only need to go 420 x 3 to get a clean division by 9). I suggest ending there since we could divide by everything up to our number of fingers.
Using your modified Babylonian system, I think you can actually make it to 168.
Using one hand for lower digit and other for higher digit, you can effectively count in base 13 on the higher digit hand to 158 (13 x 12). But you can then count an additional 12 on the lower digit hand leaving you with 158 + 12 => 168.
If your woman is constantly accusing you of thinking about other women... then I highly recommend you think about other women and get the hell out of dodge
Degrees require a conversion factor of π/180° to determine arclength.
Radians are unitless & eliminate conversion.
Converting between units of time (seconds, minutes, hours, days) requires factors of 60 or 24.
Factor 60 is simply a position shift in base-60 but not so neat in base-10.
All those arbitrary units for the same dimension (time) are redundant: the only natural unit in the whole scheme is day, and the rest are arbitrary subdivisions.
Metric prefixes of SI (eg, micro-, milli-, centi-) with day would simplify base-10 calculations.
Units such as second or day, however, bear no special significance in natural laws, so they complicate the values of physical constants arbitrarily.
Natural unit systems of measurement that select units to simplify physical constants to 1 may be the most based systems of all: they eliminate unnecessary factors from physical laws.
And 10, 15, 20, 30 and technically 60 but that would be silly
also 12!
But 60 isn't divisible by 479001600
479,001,600?
And 12