Base | Representation |
---|---|
bin | 101100010101… |
… | …0010110001000 |
3 | 1121201211012021 |
4 | 1120222112020 |
5 | 21422221440 |
6 | 2150054224 |
7 | 401361166 |
oct | 130522610 |
9 | 47654167 |
10 | 23242120 |
11 | 12135170 |
12 | 794a374 |
13 | 4a7a045 |
14 | 3130236 |
15 | 209184a |
hex | 162a588 |
23242120 has 64 divisors (see below), whose sum is σ = 57723840. Its totient is φ = 8352000.
The previous prime is 23242117. The next prime is 23242127. The reversal of 23242120 is 2124232.
It is a super-2 number, since 2×232421202 = 1080392284188800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 23242094 and 23242103.
It is not an unprimeable number, because it can be changed into a prime (23242127) 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, 44179 + ... + 44701.
It is an arithmetic number, because the mean of its divisors is an integer number (901935).
Almost surely, 223242120 is an apocalyptic number.
23242120 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 23242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28861920).
23242120 is an abundant number, since it is smaller than the sum of its proper divisors (34481720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23242120 is a wasteful number, since it uses less digits than its factorization.
23242120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 646 (or 642 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 23242120 is about 4821.0081933139. The cubic root of 23242120 is about 285.3811254754.
Adding to 23242120 its reverse (2124232), we get a palindrome (25366352).
It can be divided in two parts, 2324 and 2120, that added together give a palindrome (4444).
The spelling of 23242120 in words is "twenty-three million, two hundred forty-two thousand, one hundred twenty".
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