Base | Representation |
---|---|
bin | 111101010110011001000 |
3 | 10210010122000 |
4 | 13222303020 |
5 | 1003312222 |
6 | 111031000 |
7 | 23041653 |
oct | 7526310 |
9 | 3703560 |
10 | 2010312 |
11 | 1153417 |
12 | 80b460 |
13 | 555045 |
14 | 3a489a |
15 | 29a9ac |
hex | 1eacc8 |
2010312 has 64 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 650880.
The previous prime is 2010311. The next prime is 2010317. The reversal of 2010312 is 2130102.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2010294 and 2010303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2010311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8743 + ... + 8969.
It is an arithmetic number, because the mean of its divisors is an integer number (89775).
22010312 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 2010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).
2010312 is an abundant number, since it is smaller than the sum of its proper divisors (3735288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010312 is a wasteful number, since it uses less digits than its factorization.
2010312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 283 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 2010312 is about 1417.8547175222. The cubic root of 2010312 is about 126.2082723256.
Adding to 2010312 its reverse (2130102), we get a palindrome (4140414).
The spelling of 2010312 in words is "two million, ten thousand, three hundred twelve".
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