Base | Representation |
---|---|
bin | 111101101100101010000 |
3 | 10210201021020 |
4 | 13231211100 |
5 | 1004143322 |
6 | 111155440 |
7 | 23120130 |
oct | 7554520 |
9 | 3721236 |
10 | 2021712 |
11 | 1160a40 |
12 | 815b80 |
13 | 55a2a4 |
14 | 3a8ac0 |
15 | 29e05c |
hex | 1ed950 |
2021712 has 80 divisors (see below), whose sum is σ = 6523392. Its totient is φ = 524160.
The previous prime is 2021711. The next prime is 2021729. The reversal of 2021712 is 2171202.
2021712 is digitally balanced in base 5, because in such base 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 = 2021691 and 2021700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2021711) 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, 3423 + ... + 3969.
22021712 is an apocalyptic number.
2021712 is a gapful number since it is divisible by the number (22) 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 2021712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261696).
2021712 is an abundant number, since it is smaller than the sum of its proper divisors (4501680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021712 is a wasteful number, since it uses less digits than its factorization.
2021712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 576 (or 570 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 15.
The square root of 2021712 is about 1421.8691922958. The cubic root of 2021712 is about 126.4463884640.
Adding to 2021712 its reverse (2171202), we get a palindrome (4192914).
The spelling of 2021712 in words is "two million, twenty-one thousand, seven hundred twelve".
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