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166755920 = 2452084449
BaseRepresentation
bin10011111000001…
…11111001010000
3102121210002010012
421330013321100
5320142142140
624314054052
74063254602
oct1174077120
9377702105
10166755920
1186147211
1247a1a328
1328717856
141820b172
15e98e265
hex9f07e50

166755920 has 20 divisors (see below), whose sum is σ = 387707700. Its totient is φ = 66702336.

The previous prime is 166755899. The next prime is 166755923. The reversal of 166755920 is 29557661.

166755920 is digitally balanced in base 2, 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 2 ways, for example, as 109662784 + 57093136 = 10472^2 + 7556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166755923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042145 + ... + 1042304.

It is an arithmetic number, because the mean of its divisors is an integer number (19385385).

Almost surely, 2166755920 is an apocalyptic number.

166755920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166755920 is an abundant number, since it is smaller than the sum of its proper divisors (220951780).

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

166755920 is a wasteful number, since it uses less digits than its factorization.

166755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084462 (or 2084456 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 166755920 is about 12913.4007914259. The cubic root of 166755920 is about 550.4194266230.

The spelling of 166755920 in words is "one hundred sixty-six million, seven hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2084449 4168898 8337796 10422245 16675592 20844490 33351184 41688980 83377960 166755920