Base | Representation |
---|---|
bin | 101001110101… |
… | …0011111100000 |
3 | 1112021021001022 |
4 | 1103222133200 |
5 | 21103311000 |
6 | 2102025012 |
7 | 354263456 |
oct | 123523740 |
9 | 45237038 |
10 | 21932000 |
11 | 1141a922 |
12 | 7418168 |
13 | 470b91c |
14 | 2cac9d6 |
15 | 1dd3585 |
hex | 14ea7e0 |
21932000 has 48 divisors (see below), whose sum is σ = 53896752. Its totient is φ = 8771200.
The previous prime is 21931997. The next prime is 21932039. The reversal of 21932000 is 23912.
It is a self number, because there is not a number n which added to its sum of digits gives 21932000.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 1259 + ... + 6741.
It is an arithmetic number, because the mean of its divisors is an integer number (1122849).
Almost surely, 221932000 is an apocalyptic number.
21932000 is a gapful number since it is divisible by the number (20) 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 21932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948376).
21932000 is an abundant number, since it is smaller than the sum of its proper divisors (31964752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21932000 is an equidigital number, since it uses as much as digits as its factorization.
21932000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5508 (or 5490 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 17.
The square root of 21932000 is about 4683.1613254297. The cubic root of 21932000 is about 279.9149401491.
Adding to 21932000 its reverse (23912), we get a palindrome (21955912).
The spelling of 21932000 in words is "twenty-one million, nine hundred thirty-two thousand".
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