Base | Representation |
---|---|
bin | 101100101001… |
… | …1111110100000 |
3 | 1122001111002211 |
4 | 1121103332200 |
5 | 21443201030 |
6 | 2153451504 |
7 | 403001266 |
oct | 131237640 |
9 | 48044084 |
10 | 23412640 |
11 | 12241299 |
12 | 7a10b94 |
13 | 4b09844 |
14 | 3176436 |
15 | 20c712a |
hex | 1653fa0 |
23412640 has 96 divisors (see below), whose sum is σ = 58677696. Its totient is φ = 8816640.
The previous prime is 23412629. The next prime is 23412647. The reversal of 23412640 is 4621432.
It is a happy number.
23412640 is nontrivially palindromic in base 3 and base 9.
It is a zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (23412647) 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, 282039 + ... + 282121.
It is an arithmetic number, because the mean of its divisors is an integer number (611226).
Almost surely, 223412640 is an apocalyptic number.
23412640 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 23412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338848).
23412640 is an abundant number, since it is smaller than the sum of its proper divisors (35265056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23412640 is a wasteful number, since it uses less digits than its factorization.
23412640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 174 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 23412640 is about 4838.6609717979. The cubic root of 23412640 is about 286.0773422789.
The spelling of 23412640 in words is "twenty-three million, four hundred twelve thousand, six hundred forty".
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