Base | Representation |
---|---|
bin | 1000000111111010… |
… | …1111111011110000 |
3 | 12121222101112220210 |
4 | 2001332233323300 |
5 | 13431230211003 |
6 | 1000220104120 |
7 | 105016505322 |
oct | 20176577360 |
9 | 5558345823 |
10 | 2180710128 |
11 | a19a54883 |
12 | 50a395040 |
13 | 289a3952c |
14 | 169899612 |
15 | cb6ab503 |
hex | 81fafef0 |
2180710128 has 80 divisors (see below), whose sum is σ = 5885623296. Its totient is φ = 694940160.
The previous prime is 2180710121. The next prime is 2180710141. The reversal of 2180710128 is 8210170812.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2180710095 and 2180710104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2180710121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114676 + ... + 132332.
Almost surely, 22180710128 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 2180710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942811648).
2180710128 is an abundant number, since it is smaller than the sum of its proper divisors (3704913168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2180710128 is a wasteful number, since it uses less digits than its factorization.
2180710128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17782 (or 17776 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 30.
The square root of 2180710128 is about 46698.0741358785. The cubic root of 2180710128 is about 1296.7790336057.
The spelling of 2180710128 in words is "two billion, one hundred eighty million, seven hundred ten thousand, one hundred twenty-eight".
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