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166284 = 223231149
BaseRepresentation
bin101000100110001100
322110002200
4220212030
520310114
63321500
71261536
oct504614
9273080
10166284
11103a28
1280290
135a8c1
1444856
1534409
hex2898c

166284 has 36 divisors (see below), whose sum is σ = 436800. Its totient is φ = 53280.

The previous prime is 166273. The next prime is 166289. The reversal of 166284 is 482661.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (166289) 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, 1042 + ... + 1190.

2166284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400).

166284 is an abundant number, since it is smaller than the sum of its proper divisors (270516).

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

166284 is a wasteful number, since it uses less digits than its factorization.

166284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 166284 is about 407.7793521011. The cubic root of 166284 is about 54.9899706230.

The spelling of 166284 in words is "one hundred sixty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 149 186 279 298 372 447 558 596 894 1116 1341 1788 2682 4619 5364 9238 13857 18476 27714 41571 55428 83142 166284