| Base | Representation |
|---|---|
| bin | 1110110101011000… |
| … | …0001010111100000 |
| 3 | 101021111210012000000 |
| 4 | 3231112001113200 |
| 5 | 31123341113320 |
| 6 | 1455043300000 |
| 7 | 200451132420 |
| oct | 35526012740 |
| 9 | 11244705000 |
| 10 | 3981972960 |
| 11 | 17637a1249 |
| 12 | 93167a600 |
| 13 | 4b5c7c324 |
| 14 | 29abc0480 |
| 15 | 1848b3c90 |
| hex | ed5815e0 |
3981972960 has 336 divisors, whose sum is σ = 16122921696. Its totient is φ = 909978624.
The previous prime is 3981972949. The next prime is 3981972997. The reversal of 3981972960 is 692791893.
3981972960 is a `hidden beast` number, since 398 + 197 + 2 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×39819729602 = 31712217308342323200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 3981972897 and 3981972906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 814042 + ... + 818918.
It is an arithmetic number, because the mean of its divisors is an integer number (47984886).
Almost surely, 23981972960 is an apocalyptic number.
3981972960 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 3981972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061460848).
3981972960 is an abundant number, since it is smaller than the sum of its proper divisors (12140948736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3981972960 is an equidigital number, since it uses as much as digits as its factorization.
3981972960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4917 (or 4894 counting only the distinct ones).
The product of its (nonzero) digits is 1469664, while the sum is 54.
The square root of 3981972960 is about 63102.8760041886. The cubic root of 3981972960 is about 1585.0127820588.
The spelling of 3981972960 in words is "three billion, nine hundred eighty-one million, nine hundred seventy-two thousand, nine hundred sixty".
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