Base | Representation |
---|---|
bin | 111101001000010101000 |
3 | 10202202202100 |
4 | 13221002220 |
5 | 1003044422 |
6 | 110533400 |
7 | 23011656 |
oct | 7510250 |
9 | 3682670 |
10 | 2003112 |
11 | 1148a71 |
12 | 807260 |
13 | 551997 |
14 | 3a1dd6 |
15 | 2987ac |
hex | 1e90a8 |
2003112 has 48 divisors (see below), whose sum is σ = 5559840. Its totient is φ = 651168.
The previous prime is 2003087. The next prime is 2003119. The reversal of 2003112 is 2113002.
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 = 2003094 and 2003103.
It is not an unprimeable number, because it can be changed into a prime (2003119) 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, 2773 + ... + 3419.
It is an arithmetic number, because the mean of its divisors is an integer number (115830).
22003112 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 2003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920).
2003112 is an abundant number, since it is smaller than the sum of its proper divisors (3556728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003112 is a wasteful number, since it uses less digits than its factorization.
2003112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 702 (or 695 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 2003112 is about 1415.3133928569. The cubic root of 2003112 is about 126.0574190301.
Adding to 2003112 its reverse (2113002), we get a palindrome (4116114).
The spelling of 2003112 in words is "two million, three thousand, one hundred twelve".
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