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166068 = 22327659
BaseRepresentation
bin101000100010110100
322102210200
4220202310
520303233
63320500
71261110
oct504264
9272720
10166068
11103851
1280130
135a786
1444740
1534313
hex288b4

166068 has 36 divisors (see below), whose sum is σ = 480480. Its totient is φ = 47376.

The previous prime is 166063. The next prime is 166081. The reversal of 166068 is 860661.

It can be divided in two parts, 1660 and 68, that added together give a cube (1728 = 123).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166068.

It is not an unprimeable number, because it can be changed into a prime (166063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 581.

2166068 is an apocalyptic number.

166068 is a gapful number since it is divisible by the number (18) 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 166068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240240).

166068 is an abundant number, since it is smaller than the sum of its proper divisors (314412).

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

166068 is a wasteful number, since it uses less digits than its factorization.

166068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166068 is about 407.5144169229. The cubic root of 166068 is about 54.9661499700.

The spelling of 166068 in words is "one hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 659 1318 1977 2636 3954 4613 5931 7908 9226 11862 13839 18452 23724 27678 41517 55356 83034 166068