Base | Representation |
---|---|
bin | 100001000101001… |
… | …1100000110000000 |
3 | 2212100201111200202 |
4 | 1002022130012000 |
5 | 4233132022033 |
6 | 302051504332 |
7 | 36336060065 |
oct | 10212340600 |
9 | 2770644622 |
10 | 1110032768 |
11 | 51a648059 |
12 | 26b8b80a8 |
13 | 148c84430 |
14 | a75d0c6c |
15 | 676b88e8 |
hex | 4229c180 |
1110032768 has 64 divisors (see below), whose sum is σ = 2463728400. Its totient is φ = 494635008.
The previous prime is 1110032767. The next prime is 1110032813. The reversal of 1110032768 is 8672300111.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (29).
It is a self number, because there is not a number n which added to its sum of digits gives 1110032768.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1110032761) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36755 + ... + 59757.
Almost surely, 21110032768 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 1110032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231864200).
1110032768 is an abundant number, since it is smaller than the sum of its proper divisors (1353695632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1110032768 is a wasteful number, since it uses less digits than its factorization.
1110032768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23059 (or 23047 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 29.
The square root of 1110032768 is about 33317.1542602306. The cubic root of 1110032768 is about 1035.4089939211.
Adding to 1110032768 its reverse (8672300111), we get a palindrome (9782332879).
The spelling of 1110032768 in words is "one billion, one hundred ten million, thirty-two thousand, seven hundred sixty-eight".
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