Base | Representation |
---|---|
bin | 111100000001010… |
… | …101111111010000 |
3 | 2121011211010221222 |
4 | 330001111333100 |
5 | 4030242011133 |
6 | 243531104212 |
7 | 33645142550 |
oct | 7401257720 |
9 | 2534733858 |
10 | 1006985168 |
11 | 477464952 |
12 | 2412a2068 |
13 | 130814717 |
14 | 97a49160 |
15 | 5d610e98 |
hex | 3c055fd0 |
1006985168 has 20 divisors (see below), whose sum is σ = 2229753120. Its totient is φ = 431565024.
The previous prime is 1006985167. The next prime is 1006985197. The reversal of 1006985168 is 8615896001.
1006985168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1006985167) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4495358 + ... + 4495581.
It is an arithmetic number, because the mean of its divisors is an integer number (111487656).
Almost surely, 21006985168 is an apocalyptic number.
It is an amenable number.
1006985168 is an abundant number, since it is smaller than the sum of its proper divisors (1222767952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006985168 is an equidigital number, since it uses as much as digits as its factorization.
1006985168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8990954 (or 8990948 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 44.
The square root of 1006985168 is about 31733.0296063896. The cubic root of 1006985168 is about 1002.3229888775.
The spelling of 1006985168 in words is "one billion, six million, nine hundred eighty-five thousand, one hundred sixty-eight".
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