Base | Representation |
---|---|
bin | 1110011001011011… |
… | …0011110010010000 |
3 | 100222100012002012000 |
4 | 3212112303302100 |
5 | 30403333121320 |
6 | 1435254434000 |
7 | 164525511345 |
oct | 34626636220 |
9 | 10870162160 |
10 | 3864738960 |
11 | 17035a9645 |
12 | 8ba362900 |
13 | 4978b33b4 |
14 | 2893c47cc |
15 | 179457c90 |
hex | e65b3c90 |
3864738960 has 160 divisors (see below), whose sum is σ = 13472887680. Its totient is φ = 1018132992.
The previous prime is 3864738949. The next prime is 3864738961. The reversal of 3864738960 is 698374683.
3864738960 is a `hidden beast` number, since 3 + 86 + 473 + 8 + 96 + 0 = 666.
3864738960 is digitally balanced in base 2 and base 4, because in such bases 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 (54).
It is a junction number, because it is equal to n+sod(n) for n = 3864738897 and 3864738906.
It is not an unprimeable number, because it can be changed into a prime (3864738961) 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, 168502 + ... + 190058.
It is an arithmetic number, because the mean of its divisors is an integer number (84205548).
Almost surely, 23864738960 is an apocalyptic number.
3864738960 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 3864738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736443840).
3864738960 is an abundant number, since it is smaller than the sum of its proper divisors (9608148720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3864738960 is a wasteful number, since it uses less digits than its factorization.
3864738960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21662 (or 21650 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The square root of 3864738960 is about 62167.0246995946. The cubic root of 3864738960 is about 1569.3026992581.
The spelling of 3864738960 in words is "three billion, eight hundred sixty-four million, seven hundred thirty-eight thousand, nine hundred sixty".
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