Base | Representation |
---|---|
bin | 101101000101… |
… | …1100011100000 |
3 | 1122111001101020 |
4 | 1122023203200 |
5 | 22022442123 |
6 | 2202405440 |
7 | 404640060 |
oct | 132134340 |
9 | 48431336 |
10 | 23640288 |
11 | 12387331 |
12 | 7b00880 |
13 | 4b89349 |
14 | 31d53a0 |
15 | 211e7e3 |
hex | 168b8e0 |
23640288 has 96 divisors (see below), whose sum is σ = 71737344. Its totient is φ = 6676992.
The previous prime is 23640257. The next prime is 23640293. The reversal of 23640288 is 88204632.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85206 + ... + 85482.
It is an arithmetic number, because the mean of its divisors is an integer number (747264).
Almost surely, 223640288 is an apocalyptic number.
23640288 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 23640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35868672).
23640288 is an abundant number, since it is smaller than the sum of its proper divisors (48097056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23640288 is a wasteful number, since it uses less digits than its factorization.
23640288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 424 (or 416 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 33.
The square root of 23640288 is about 4862.1279292096. The cubic root of 23640288 is about 287.0015580211.
The spelling of 23640288 in words is "twenty-three million, six hundred forty thousand, two hundred eighty-eight".
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