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166166120 = 23517232411
BaseRepresentation
bin10011110011101…
…11111001101000
3102120200010001202
421321313321220
5320014303440
624253303332
74055250221
oct1171677150
9376603052
10166166120
118588407a
1247794b48
132856c263
14180d6248
15e8c4615
hex9e77e68

166166120 has 32 divisors (see below), whose sum is σ = 374245920. Its totient is φ = 66400320.

The previous prime is 166166113. The next prime is 166166129. The reversal of 166166120 is 21661661.

It is a super-2 number, since 2×1661661202 = 55222358871708800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166166129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67715 + ... + 70125.

It is an arithmetic number, because the mean of its divisors is an integer number (11695185).

Almost surely, 2166166120 is an apocalyptic number.

166166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166166120 is an abundant number, since it is smaller than the sum of its proper divisors (208079800).

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

166166120 is a wasteful number, since it uses less digits than its factorization.

166166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 166166120 is about 12890.5438209565. The cubic root of 166166120 is about 549.7697328091.

The spelling of 166166120 in words is "one hundred sixty-six million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1723 2411 3446 4822 6892 8615 9644 12055 13784 17230 19288 24110 34460 48220 68920 96440 4154153 8308306 16616612 20770765 33233224 41541530 83083060 166166120