Base | Representation |
---|---|
bin | 101101110111… |
… | …100000011000 |
3 | 211121212121010 |
4 | 231313200120 |
5 | 11034230312 |
6 | 1105413520 |
7 | 204125622 |
oct | 55674030 |
9 | 24555533 |
10 | 12023832 |
11 | 6872757 |
12 | 403a2a0 |
13 | 264cac2 |
14 | 184dc12 |
15 | 10c793c |
hex | b77818 |
12023832 has 64 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 3830400.
The previous prime is 12023831. The next prime is 12023839. The reversal of 12023832 is 23832021.
12023832 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 is a junction number, because it is equal to n+sod(n) for n = 12023799 and 12023808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12023831) 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, 62857 + ... + 63047.
It is an arithmetic number, because the mean of its divisors is an integer number (491040).
Almost surely, 212023832 is an apocalyptic number.
12023832 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 12023832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).
12023832 is an abundant number, since it is smaller than the sum of its proper divisors (19402728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12023832 is a wasteful number, since it uses less digits than its factorization.
12023832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 300 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 12023832 is about 3467.5397618484. The cubic root of 12023832 is about 229.0943084541.
Adding to 12023832 its reverse (23832021), we get a palindrome (35855853).
It can be divided in two parts, 1202 and 3832, that multiplied together give a palindrome (4606064).
The spelling of 12023832 in words is "twelve million, twenty-three thousand, eight hundred thirty-two".
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