Base | Representation |
---|---|
bin | 101110111010… |
… | …111100000000 |
3 | 212010220110202 |
4 | 232322330000 |
5 | 11122100112 |
6 | 1115344332 |
7 | 206356103 |
oct | 56727400 |
9 | 25126422 |
10 | 12300032 |
11 | 6a41218 |
12 | 41520a8 |
13 | 2718734 |
14 | 18c273a |
15 | 112e6c2 |
hex | bbaf00 |
12300032 has 36 divisors (see below), whose sum is σ = 25631760. Its totient is φ = 5879808.
The previous prime is 12300017. The next prime is 12300037. The reversal of 12300032 is 23000321.
12300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×123000323 (a number of 22 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12299986 and 12300022.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12300037) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4844 + ... + 6932.
Almost surely, 212300032 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 12300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815880).
12300032 is an abundant number, since it is smaller than the sum of its proper divisors (13331728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12300032 is an equidigital number, since it uses as much as digits as its factorization.
12300032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2128 (or 2114 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 12300032 is about 3507.1401454747. The cubic root of 12300032 is about 230.8352241573.
Adding to 12300032 its reverse (23000321), we get a palindrome (35300353).
The spelling of 12300032 in words is "twelve million, three hundred thousand, thirty-two".
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