Base | Representation |
---|---|
bin | 101100011100… |
… | …0100001000000 |
3 | 1121211202210220 |
4 | 1120320201000 |
5 | 21431101120 |
6 | 2151223040 |
7 | 402022332 |
oct | 130704100 |
9 | 47752726 |
10 | 23300160 |
11 | 12174834 |
12 | 7977a80 |
13 | 4a9a5a0 |
14 | 3147452 |
15 | 20a3b40 |
hex | 1638840 |
23300160 has 112 divisors (see below), whose sum is σ = 79711296. Its totient is φ = 5732352.
The previous prime is 23300143. The next prime is 23300161. The reversal of 23300160 is 6100332.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a cake number, because a cake can be divided into 23300160 parts by 519 planar cuts.
It is not an unprimeable number, because it can be changed into a prime (23300161) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11547 + ... + 13413.
It is an arithmetic number, because the mean of its divisors is an integer number (711708).
Almost surely, 223300160 is an apocalyptic number.
23300160 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 23300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39855648).
23300160 is an abundant number, since it is smaller than the sum of its proper divisors (56411136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23300160 is a wasteful number, since it uses less digits than its factorization.
23300160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 23300160 is about 4827.0239278462. The cubic root of 23300160 is about 285.6184783531.
Adding to 23300160 its reverse (6100332), we get a palindrome (29400492).
The spelling of 23300160 in words is "twenty-three million, three hundred thousand, one hundred sixty".
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