Base | Representation |
---|---|
bin | 100000100000111… |
… | …1000000100000000 |
3 | 2211000221002111000 |
4 | 1001001320010000 |
5 | 4213244321231 |
6 | 300132052000 |
7 | 36015303360 |
oct | 10101700400 |
9 | 2730832430 |
10 | 1091010816 |
11 | 50a935635 |
12 | 265464000 |
13 | 14505423c |
14 | a4c7c9a0 |
15 | 65bac6e6 |
hex | 41078100 |
1091010816 has 144 divisors (see below), whose sum is σ = 3687376000. Its totient is φ = 311703552.
The previous prime is 1091010797. The next prime is 1091010829. The reversal of 1091010816 is 6180101901.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 1091010816.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37110 + ... + 59658.
Almost surely, 21091010816 is an apocalyptic number.
1091010816 is a gapful number since it is divisible by the number (16) 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 1091010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843688000).
1091010816 is an abundant number, since it is smaller than the sum of its proper divisors (2596365184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1091010816 is an equidigital number, since it uses as much as digits as its factorization.
1091010816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22581 (or 22561 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 27.
The square root of 1091010816 is about 33030.4528579310. The cubic root of 1091010816 is about 1029.4604947885.
The spelling of 1091010816 in words is "one billion, ninety-one million, ten thousand, eight hundred sixteen".
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