Base | Representation |
---|---|
bin | 101101011100… |
… | …0111101000000 |
3 | 1122211111110100 |
4 | 1122320331000 |
5 | 22044414430 |
6 | 2210402400 |
7 | 406343154 |
oct | 132707500 |
9 | 48744410 |
10 | 23826240 |
11 | 124a4009 |
12 | 7b90400 |
13 | 4c22b89 |
14 | 3243064 |
15 | 2159960 |
hex | 16b8f40 |
23826240 has 84 divisors (see below), whose sum is σ = 81962244. Its totient is φ = 6352896.
The previous prime is 23826239. The next prime is 23826277. The reversal of 23826240 is 4262832.
23826240 is a `hidden beast` number, since 2 + 38 + 2 + 624 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 10342656 = 3672^2 + 3216^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 7016.
It is an arithmetic number, because the mean of its divisors is an integer number (975741).
Almost surely, 223826240 is an apocalyptic number.
23826240 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 23826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40981122).
23826240 is an abundant number, since it is smaller than the sum of its proper divisors (58136004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23826240 is a wasteful number, since it uses less digits than its factorization.
23826240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8296 (or 8283 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 23826240 is about 4881.2129640080. The cubic root of 23826240 is about 287.7521014952.
The spelling of 23826240 in words is "twenty-three million, eight hundred twenty-six thousand, two hundred forty".
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