Base | Representation |
---|---|
bin | 111101000010… |
… | …0100010100110 |
3 | 2020012202222100 |
4 | 1322010202212 |
5 | 31143001131 |
6 | 3101512530 |
7 | 535665642 |
oct | 172044246 |
9 | 66182870 |
10 | 32000166 |
11 | 17077220 |
12 | a872746 |
13 | 6825513 |
14 | 436dc22 |
15 | 2c217e6 |
hex | 1e848a6 |
32000166 has 48 divisors (see below), whose sum is σ = 78258960. Its totient is φ = 9360960.
The previous prime is 32000147. The next prime is 32000167. The reversal of 32000166 is 66100023.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32000167) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956 + ... + 8528.
It is an arithmetic number, because the mean of its divisors is an integer number (1630395).
Almost surely, 232000166 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32000166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39129480).
32000166 is an abundant number, since it is smaller than the sum of its proper divisors (46258794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32000166 is a wasteful number, since it uses less digits than its factorization.
32000166 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5621 (or 5618 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 32000166 is about 5656.8689219391. The cubic root of 32000166 is about 317.4807593689.
Adding to 32000166 its reverse (66100023), we get a palindrome (98100189).
The spelling of 32000166 in words is "thirty-two million, one hundred sixty-six", and thus it is an aban number.
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