Base | Representation |
---|---|
bin | 101100111000… |
… | …1100111000000 |
3 | 1122021122121020 |
4 | 1121301213000 |
5 | 22011042031 |
6 | 2200225440 |
7 | 404015202 |
oct | 131614700 |
9 | 48248536 |
10 | 23534016 |
11 | 12314500 |
12 | 7a6b280 |
13 | 4b4cb6c |
14 | 31a8772 |
15 | 20ed096 |
hex | 16719c0 |
23534016 has 84 divisors (see below), whose sum is σ = 68509896. Its totient is φ = 7124480.
The previous prime is 23534009. The next prime is 23534033. The reversal of 23534016 is 61043532.
It is a happy number.
It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 11 ways as a sum of consecutive naturals, for example, 22726 + ... + 23738.
It is an arithmetic number, because the mean of its divisors is an integer number (815594).
Almost surely, 223534016 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 23534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34254948).
23534016 is an abundant number, since it is smaller than the sum of its proper divisors (44975880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23534016 is a wasteful number, since it uses less digits than its factorization.
23534016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1050 (or 1029 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 23534016 is about 4851.1870712229. The cubic root of 23534016 is about 286.5708519400.
Adding to 23534016 its reverse (61043532), we get a palindrome (84577548).
The spelling of 23534016 in words is "twenty-three million, five hundred thirty-four thousand, sixteen".
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