Base | Representation |
---|---|
bin | 100110011111… |
… | …0111101100000 |
3 | 1101222021220020 |
4 | 1030332331200 |
5 | 20131241312 |
6 | 2000313440 |
7 | 333351150 |
oct | 114767540 |
9 | 41867806 |
10 | 20180832 |
11 | 10434181 |
12 | 6912880 |
13 | 4247829 |
14 | 2974760 |
15 | 1b8978c |
hex | 133ef60 |
20180832 has 96 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 5657088.
The previous prime is 20180807. The next prime is 20180833. The reversal of 20180832 is 23808102.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20180833) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39394 + ... + 39902.
It is an arithmetic number, because the mean of its divisors is an integer number (642600).
Almost surely, 220180832 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 20180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).
20180832 is an abundant number, since it is smaller than the sum of its proper divisors (41508768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20180832 is a wasteful number, since it uses less digits than its factorization.
20180832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 588 (or 580 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 20180832 is about 4492.3080927292. The cubic root of 20180832 is about 272.2573976358.
Adding to 20180832 its reverse (23808102), we get a palindrome (43988934).
It can be divided in two parts, 20180 and 832, that added together give a palindrome (21012).
The spelling of 20180832 in words is "twenty million, one hundred eighty thousand, eight hundred thirty-two".
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