Base | Representation |
---|---|
bin | 101101000101… |
… | …1100000000000 |
3 | 1122111001001221 |
4 | 1122023200000 |
5 | 22022440224 |
6 | 2202404424 |
7 | 404636320 |
oct | 132134000 |
9 | 48431057 |
10 | 23640064 |
11 | 12387148 |
12 | 7b00714 |
13 | 4b89206 |
14 | 31d5280 |
15 | 211e6e4 |
hex | 168b800 |
23640064 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 9437184.
The previous prime is 23640059. The next prime is 23640083. The reversal of 23640064 is 46004632.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243664 + ... + 243760.
It is an arithmetic number, because the mean of its divisors is an integer number (601965).
Almost surely, 223640064 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 23640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).
23640064 is an abundant number, since it is smaller than the sum of its proper divisors (34148576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23640064 is an equidigital number, since it uses as much as digits as its factorization.
23640064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 25.
The square root of 23640064 is about 4862.1048939734. The cubic root of 23640064 is about 287.0006515381. Note that the first 3 decimals are identical.
Adding to 23640064 its reverse (46004632), we get a palindrome (69644696).
The spelling of 23640064 in words is "twenty-three million, six hundred forty thousand, sixty-four".
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