Base | Representation |
---|---|
bin | 111110010101… |
… | …0100011100100 |
3 | 2021111022202110 |
4 | 1330222203210 |
5 | 31331231124 |
6 | 3124241020 |
7 | 544530306 |
oct | 174524344 |
9 | 67438673 |
10 | 32680164 |
11 | 174a1100 |
12 | ab40170 |
13 | 6a02b9a |
14 | 44a9976 |
15 | 2d08029 |
hex | 1f2a8e4 |
32680164 has 72 divisors (see below), whose sum is σ = 85264704. Its totient is φ = 9732800.
The previous prime is 32680163. The next prime is 32680199. The reversal of 32680164 is 46108623.
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (32680163) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102934 + ... + 103250.
It is an arithmetic number, because the mean of its divisors is an integer number (1184232).
Almost surely, 232680164 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 32680164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42632352).
32680164 is an abundant number, since it is smaller than the sum of its proper divisors (52584540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32680164 is a wasteful number, since it uses less digits than its factorization.
32680164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 32680164 is about 5716.6567152489. The cubic root of 32680164 is about 319.7138196622.
Adding to 32680164 its reverse (46108623), we get a palindrome (78788787).
The spelling of 32680164 in words is "thirty-two million, six hundred eighty thousand, one hundred sixty-four".
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