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Part of 2018 India PRMO

Problems(1)

2018 preRMO p4 equation 166 x 56 = 8590 is valid in some base b >=10

Source:

8/7/2019
The equation 166×56=8590166\times 56 = 8590 is valid in some base b≥10b \ge 10 (that is, 1,6,5,8,9,01, 6, 5, 8, 9, 0 are digits in base bb in the above equation). Find the sum of all possible values of b≥10b \ge 10 satisfying the equation.
number theorybase system