Base | Representation |
---|---|
bin | 101100011000… |
… | …0100000000000 |
3 | 1121210002202220 |
4 | 1120300200000 |
5 | 21424023303 |
6 | 2150411040 |
7 | 401524530 |
oct | 130604000 |
9 | 47702686 |
10 | 23267328 |
11 | 121520a7 |
12 | 7960a80 |
13 | 4a88666 |
14 | 31394c0 |
15 | 2099053 |
hex | 1630800 |
23267328 has 96 divisors (see below), whose sum is σ = 71023680. Its totient is φ = 6635520.
The previous prime is 23267327. The next prime is 23267351. The reversal of 23267328 is 82376232.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23267323) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42738 + ... + 43278.
It is an arithmetic number, because the mean of its divisors is an integer number (739830).
Almost surely, 223267328 is an apocalyptic number.
23267328 is a gapful number since it is divisible by the number (28) 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 23267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35511840).
23267328 is an abundant number, since it is smaller than the sum of its proper divisors (47756352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23267328 is an equidigital number, since it uses as much as digits as its factorization.
23267328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 573 (or 553 counting only the distinct ones).
The product of its digits is 24192, while the sum is 33.
The square root of 23267328 is about 4823.6218757278. The cubic root of 23267328 is about 285.4842613366.
The spelling of 23267328 in words is "twenty-three million, two hundred sixty-seven thousand, three hundred twenty-eight".
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