Base | Representation |
---|---|
bin | 101110000111… |
… | …011110010000 |
3 | 211202012022100 |
4 | 232013132100 |
5 | 11043323412 |
6 | 1111040400 |
7 | 204520401 |
oct | 56073620 |
9 | 24665270 |
10 | 12089232 |
11 | 6907901 |
12 | 4070100 |
13 | 26737bc |
14 | 18699a8 |
15 | 10dbedc |
hex | b87790 |
12089232 has 60 divisors (see below), whose sum is σ = 34762780. Its totient is φ = 3919104.
The previous prime is 12089197. The next prime is 12089239. The reversal of 12089232 is 23298021.
It is a happy number.
12089232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 6780816 = 2304^2 + 2604^2 .
It is a super-2 number, since 2×120892322 = 292299060699648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12089196 and 12089205.
It is not an unprimeable number, because it can be changed into a prime (12089239) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 6462.
Almost surely, 212089232 is an apocalyptic number.
12089232 is a gapful number since it is divisible by the number (12) 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 12089232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381390).
12089232 is an abundant number, since it is smaller than the sum of its proper divisors (22673548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12089232 is a wasteful number, since it uses less digits than its factorization.
12089232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 12089232 is about 3476.9572905056. The cubic root of 12089232 is about 229.5089207235.
It can be divided in two parts, 12089 and 232, that added together give a palindrome (12321).
The spelling of 12089232 in words is "twelve million, eighty-nine thousand, two hundred thirty-two".
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