Base | Representation |
---|---|
bin | 1001000111100001100000 |
3 | 11111102121200 |
4 | 21013201200 |
5 | 1102440422 |
6 | 123121200 |
7 | 26213154 |
oct | 11074140 |
9 | 4442550 |
10 | 2390112 |
11 | 13927aa |
12 | 973200 |
13 | 658b8a |
14 | 463064 |
15 | 3232ac |
hex | 247860 |
2390112 has 72 divisors (see below), whose sum is σ = 6990984. Its totient is φ = 774144.
The previous prime is 2390111. The next prime is 2390117. The reversal of 2390112 is 2110932.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2390111) 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, 12288 + ... + 12480.
It is an arithmetic number, because the mean of its divisors is an integer number (97097).
22390112 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 2390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495492).
2390112 is an abundant number, since it is smaller than the sum of its proper divisors (4600872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2390112 is a wasteful number, since it uses less digits than its factorization.
2390112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 252 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 2390112 is about 1545.9987063384. The cubic root of 2390112 is about 133.7024660038.
The spelling of 2390112 in words is "two million, three hundred ninety thousand, one hundred twelve".
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