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166013052 = 22329716719
BaseRepresentation
bin10011110010100…
…10100001111100
3102120101100002120
421321102201330
5314444404202
624250122540
74054042032
oct1171224174
9376340076
10166013052
118578a077
1247720450
132851769a
1418096552
15e8940bc
hex9e5287c

166013052 has 48 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 52669120.

The previous prime is 166013047. The next prime is 166013129. The reversal of 166013052 is 250310661.

166013052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21349 + ... + 28067.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2166013052 is an apocalyptic number.

166013052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166013052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

166013052 is an abundant number, since it is smaller than the sum of its proper divisors (240412548).

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

166013052 is a wasteful number, since it uses less digits than its factorization.

166013052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 166013052 is about 12884.6052326022. The cubic root of 166013052 is about 549.6008696532.

The spelling of 166013052 in words is "one hundred sixty-six million, thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 4118 6177 6719 8236 12354 13438 20157 24708 26876 40314 80628 194851 389702 477049 584553 779404 954098 1169106 1431147 1908196 2338212 2862294 5724588 13834421 27668842 41503263 55337684 83006526 166013052