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166152 = 23372343
BaseRepresentation
bin101000100100001000
322102220210
4220210020
520304102
63321120
71261260
oct504410
9272823
10166152
11103918
12801a0
135a81c
14447a0
153436c
hex28908

166152 has 64 divisors (see below), whose sum is σ = 506880. Its totient is φ = 44352.

The previous prime is 166151. The next prime is 166157. The reversal of 166152 is 251661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2166152 is an apocalyptic number.

166152 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 166152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253440).

166152 is an abundant number, since it is smaller than the sum of its proper divisors (340728).

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

166152 is a wasteful number, since it uses less digits than its factorization.

166152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 166152 is about 407.6174677317. The cubic root of 166152 is about 54.9754160103.

The spelling of 166152 in words is "one hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 43 46 56 69 84 86 92 129 138 161 168 172 184 258 276 301 322 344 483 516 552 602 644 903 966 989 1032 1204 1288 1806 1932 1978 2408 2967 3612 3864 3956 5934 6923 7224 7912 11868 13846 20769 23736 27692 41538 55384 83076 166152