Base | Representation |
---|---|
bin | 100001111100010… |
… | …1101000010000000 |
3 | 2221101010001012022 |
4 | 1003320231002000 |
5 | 4313032003414 |
6 | 305003221012 |
7 | 40136545622 |
oct | 10370550200 |
9 | 2841101168 |
10 | 1138937984 |
11 | 53499aa68 |
12 | 279517768 |
13 | 151c65002 |
14 | ab396c12 |
15 | 69ec818e |
hex | 43e2d080 |
1138937984 has 64 divisors (see below), whose sum is σ = 2429854200. Its totient is φ = 529858560.
The previous prime is 1138937977. The next prime is 1138937993. The reversal of 1138937984 is 4897398311.
It can be written as a sum of positive squares in 4 ways, for example, as 1080568384 + 58369600 = 32872^2 + 7640^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190724 + ... + 196604.
Almost surely, 21138937984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1138937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214927100).
1138937984 is an abundant number, since it is smaller than the sum of its proper divisors (1290916216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1138937984 is an equidigital number, since it uses as much as digits as its factorization.
1138937984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6001 (or 5989 counting only the distinct ones).
The product of its digits is 1306368, while the sum is 53.
The square root of 1138937984 is about 33748.1552681032. The cubic root of 1138937984 is about 1044.3194317185.
The spelling of 1138937984 in words is "one billion, one hundred thirty-eight million, nine hundred thirty-seven thousand, nine hundred eighty-four".
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