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166107060 = 223257237509
BaseRepresentation
bin10011110011010…
…01011110110100
3102120120010001100
421321221132310
5320010411220
624252130100
74054613100
oct1171513664
9376503040
10166107060
1185843769
1247766930
132854b402
14180bc900
15e8b1d90
hex9e697b4

166107060 has 216 divisors, whose sum is σ = 603144360. Its totient is φ = 36868608.

The previous prime is 166107037. The next prime is 166107061. The reversal of 166107060 is 60701661.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 94128804 = 8484^2 + 9702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166107061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326086 + ... + 326594.

It is an arithmetic number, because the mean of its divisors is an integer number (2792335).

Almost surely, 2166107060 is an apocalyptic number.

166107060 is a gapful number since it is divisible by the number (10) 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 166107060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301572180).

166107060 is an abundant number, since it is smaller than the sum of its proper divisors (437037300).

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

166107060 is a wasteful number, since it uses less digits than its factorization.

166107060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 166107060 is about 12888.2527908169. The cubic root of 166107060 is about 549.7045906730.

The spelling of 166107060 in words is "one hundred sixty-six million, one hundred seven thousand, sixty".