Base | Representation |
---|---|
bin | 101110000111… |
… | …110111000100 |
3 | 211202021111011 |
4 | 232013313010 |
5 | 11043401240 |
6 | 1111052004 |
7 | 204525130 |
oct | 56076704 |
9 | 24667434 |
10 | 12090820 |
11 | 6909015 |
12 | 4071004 |
13 | 2674441 |
14 | 186a3c0 |
15 | 10dc6ea |
hex | b87dc4 |
12090820 has 48 divisors (see below), whose sum is σ = 29473920. Its totient is φ = 4080384.
The previous prime is 12090817. The next prime is 12090853. The reversal of 12090820 is 2809021.
It is a junction number, because it is equal to n+sod(n) for n = 12090791 and 12090800.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8736 + ... + 10024.
It is an arithmetic number, because the mean of its divisors is an integer number (614040).
Almost surely, 212090820 is an apocalyptic number.
12090820 is a gapful number since it is divisible by the number (10) 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 12090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736960).
12090820 is an abundant number, since it is smaller than the sum of its proper divisors (17383100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12090820 is a wasteful number, since it uses less digits than its factorization.
12090820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1372 (or 1370 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 22.
The square root of 12090820 is about 3477.1856435917. The cubic root of 12090820 is about 229.5189694514.
Adding to 12090820 its reverse (2809021), we get a palindrome (14899841).
The spelling of 12090820 in words is "twelve million, ninety thousand, eight hundred twenty".
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