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163666120 = 2355377201
BaseRepresentation
bin10011100000101…
…01100011001000
3102101222002201011
421300111203020
5313344303440
624123533304
74025065462
oct1160254310
9371862634
10163666120
1184426862
124698a234
1327ba5377
1417a45132
15e57d9ea
hex9c158c8

163666120 has 32 divisors (see below), whose sum is σ = 375201720. Its totient is φ = 64230400.

The previous prime is 163666109. The next prime is 163666121. The reversal of 163666120 is 21666361.

163666120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104898564 + 58767556 = 10242^2 + 7666^2 .

It is not an unprimeable number, because it can be changed into a prime (163666121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36481 + ... + 40720.

Almost surely, 2163666120 is an apocalyptic number.

163666120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163666120 is an abundant number, since it is smaller than the sum of its proper divisors (211535600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163666120 is a wasteful number, since it uses less digits than its factorization.

163666120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77265 (or 77261 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 163666120 is about 12793.2060094411. The cubic root of 163666120 is about 546.9986597964.

The spelling of 163666120 in words is "one hundred sixty-three million, six hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 77201 154402 308804 386005 617608 772010 1544020 3088040 4091653 8183306 16366612 20458265 32733224 40916530 81833060 163666120