| Base | Representation |
|---|---|
| bin | 111011110010100… |
| … | …1011001001010000 |
| 3 | 12011211002020020010 |
| 4 | 1313211023021100 |
| 5 | 13102043434210 |
| 6 | 531024314520 |
| 7 | 100500463533 |
| oct | 16745131120 |
| 9 | 5154066203 |
| 10 | 2006233680 |
| 11 | 93a515070 |
| 12 | 47ba72a40 |
| 13 | 25c84a829 |
| 14 | 15063ca1a |
| 15 | bb1e4920 |
| hex | 7794b250 |
2006233680 has 160 divisors (see below), whose sum is σ = 6802600320. Its totient is φ = 485079040.
The previous prime is 2006233667. The next prime is 2006233687. The reversal of 2006233680 is 863326002.
2006233680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 447912-1.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2006233687) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343014 + ... + 1344506.
It is an arithmetic number, because the mean of its divisors is an integer number (42516252).
Almost surely, 22006233680 is an apocalyptic number.
2006233680 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 2006233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401300160).
2006233680 is an abundant number, since it is smaller than the sum of its proper divisors (4796366640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006233680 is a wasteful number, since it uses less digits than its factorization.
2006233680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 30.
The square root of 2006233680 is about 44790.9999888370. Note that the first 4 decimals coincide. The cubic root of 2006233680 is about 1261.2286830483.
Adding to 2006233680 its reverse (863326002), we get a palindrome (2869559682).
The spelling of 2006233680 in words is "two billion, six million, two hundred thirty-three thousand, six hundred eighty".
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