| Base | Representation |
|---|---|
| bin | 1110110101111000… |
| … | …1110000100110000 |
| 3 | 101021122211101011000 |
| 4 | 3231132032010300 |
| 5 | 31124413402120 |
| 6 | 1455201322000 |
| 7 | 200505323334 |
| oct | 35536160460 |
| 9 | 11248741130 |
| 10 | 3984122160 |
| 11 | 1764a29a47 |
| 12 | 932336300 |
| 13 | 4b6552645 |
| 14 | 29b1bd7c4 |
| 15 | 184b8a990 |
| hex | ed78e130 |
3984122160 has 320 divisors, whose sum is σ = 14549068800. Its totient is φ = 999309312.
The previous prime is 3984122143. The next prime is 3984122161. The reversal of 3984122160 is 612214893.
3984122160 is a `hidden beast` number, since 398 + 41 + 221 + 6 + 0 = 666.
3984122160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3984122161) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7920469 + ... + 7920971.
It is an arithmetic number, because the mean of its divisors is an integer number (45465840).
Almost surely, 23984122160 is an apocalyptic number.
3984122160 is a gapful number since it is divisible by the number (30) 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 3984122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274534400).
3984122160 is an abundant number, since it is smaller than the sum of its proper divisors (10564946640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3984122160 is a wasteful number, since it uses less digits than its factorization.
3984122160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 737 (or 725 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 3984122160 is about 63119.9030417506. The cubic root of 3984122160 is about 1585.2978917118.
It can be divided in two parts, 39841 and 22160, that added together give a square (62001 = 2492).
The spelling of 3984122160 in words is "three billion, nine hundred eighty-four million, one hundred twenty-two thousand, one hundred sixty".
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