Base | Representation |
---|---|
bin | 101100011001… |
… | …1010111101000 |
3 | 1121210200220011 |
4 | 1120303113220 |
5 | 21424412310 |
6 | 2150541304 |
7 | 401604016 |
oct | 130632750 |
9 | 47720804 |
10 | 23279080 |
11 | 1215aa10 |
12 | 7967834 |
13 | 4a90b06 |
14 | 313d8b6 |
15 | 209c78a |
hex | 16335e8 |
23279080 has 64 divisors (see below), whose sum is σ = 57646080. Its totient is φ = 8390400.
The previous prime is 23279071. The next prime is 23279089. The reversal of 23279080 is 8097232.
It is an interprime number because it is at equal distance from previous prime (23279071) and next prime (23279089).
It is not an unprimeable number, because it can be changed into a prime (23279089) 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 15 ways as a sum of consecutive naturals, for example, 83902 + ... + 84178.
It is an arithmetic number, because the mean of its divisors is an integer number (900720).
Almost surely, 223279080 is an apocalyptic number.
23279080 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 23279080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28823040).
23279080 is an abundant number, since it is smaller than the sum of its proper divisors (34367000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23279080 is a wasteful number, since it uses less digits than its factorization.
23279080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 490 (or 486 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 31.
The square root of 23279080 is about 4824.8398937167. The cubic root of 23279080 is about 285.5323179412.
The spelling of 23279080 in words is "twenty-three million, two hundred seventy-nine thousand, eighty".
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