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166158 = 23317181
BaseRepresentation
bin101000100100001110
322102221000
4220210032
520304113
63321130
71261266
oct504416
9272830
10166158
11103923
12801a6
135a825
14447a6
1534373
hex2890e

166158 has 32 divisors (see below), whose sum is σ = 393120. Its totient is φ = 51840.

The previous prime is 166157. The next prime is 166169. The reversal of 166158 is 851661.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

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 166158.

It is not an unprimeable number, because it can be changed into a prime (166151) 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 15 ways as a sum of consecutive naturals, for example, 828 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2166158 is an apocalyptic number.

166158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

166158 is an abundant number, since it is smaller than the sum of its proper divisors (226962).

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

166158 is a wasteful number, since it uses less digits than its factorization.

166158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 166158 is about 407.6248275069. The cubic root of 166158 is about 54.9760777508.

It can be divided in two parts, 166 and 158, that added together give a square (324 = 182).

The spelling of 166158 in words is "one hundred sixty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 181 306 362 459 543 918 1086 1629 3077 3258 4887 6154 9231 9774 18462 27693 55386 83079 166158