Base | Representation |
---|---|
bin | 101101010000… |
… | …0110000000000 |
3 | 1122122110110122 |
4 | 1122200300000 |
5 | 22033231404 |
6 | 2204315412 |
7 | 405451142 |
oct | 132406000 |
9 | 48573418 |
10 | 23727104 |
11 | 12436585 |
12 | 7b42b68 |
13 | 4bb9a0b |
14 | 3218c92 |
15 | 213a3be |
hex | 16a0c00 |
23727104 has 88 divisors (see below), whose sum is σ = 53058240. Its totient is φ = 10551296.
The previous prime is 23727091. The next prime is 23727107. The reversal of 23727104 is 40172732.
It is a super-3 number, since 3×237271043 (a number of 23 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (23727107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504809 + ... + 504855.
Almost surely, 223727104 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 23727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529120).
23727104 is an abundant number, since it is smaller than the sum of its proper divisors (29331136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23727104 is a wasteful number, since it uses less digits than its factorization.
23727104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 26.
The square root of 23727104 is about 4871.0475259435. The cubic root of 23727104 is about 287.3524546012.
Adding to 23727104 its reverse (40172732), we get a palindrome (63899836).
The spelling of 23727104 in words is "twenty-three million, seven hundred twenty-seven thousand, one hundred four".
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