| Base | Representation |
|---|---|
| bin | 111110110000111… |
| … | …1001101001100000 |
| 3 | 12102202212212020000 |
| 4 | 1331201321221200 |
| 5 | 13303121221010 |
| 6 | 544551420000 |
| 7 | 103122015021 |
| oct | 17541715140 |
| 9 | 5382785200 |
| 10 | 2106038880 |
| 11 | 990893200 |
| 12 | 4a9384600 |
| 13 | 27742376a |
| 14 | 15d9bcc48 |
| 15 | c4d5b7c0 |
| hex | 7d879a60 |
2106038880 has 720 divisors, whose sum is σ = 8759741760. Its totient is φ = 474439680.
The previous prime is 2106038867. The next prime is 2106038887. The reversal of 2106038880 is 888306012.
2106038880 is a `hidden beast` number, since 210 + 60 + 388 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2106038887) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658681 + ... + 26658759.
It is an arithmetic number, because the mean of its divisors is an integer number (12166308).
Almost surely, 22106038880 is an apocalyptic number.
2106038880 is a gapful number since it is divisible by the number (20) 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 2106038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).
2106038880 is an abundant number, since it is smaller than the sum of its proper divisors (6653702880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2106038880 is a wasteful number, since it uses less digits than its factorization.
2106038880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 2106038880 is about 45891.5992312319. The cubic root of 2106038880 is about 1281.8054924461.
The spelling of 2106038880 in words is "two billion, one hundred six million, thirty-eight thousand, eight hundred eighty".
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