Base | Representation |
---|---|
bin | 100001000010001… |
… | …0001100010000000 |
3 | 2212020200101210011 |
4 | 1002010101202000 |
5 | 4232223313030 |
6 | 301553114304 |
7 | 36316246252 |
oct | 10204214200 |
9 | 2766611704 |
10 | 1108416640 |
11 | 519743911 |
12 | 26b258994 |
13 | 148839946 |
14 | a72cdcd2 |
15 | 67499b2a |
hex | 42111880 |
1108416640 has 64 divisors (see below), whose sum is σ = 2674287000. Its totient is φ = 439271424.
The previous prime is 1108416619. The next prime is 1108416679. The reversal of 1108416640 is 466148011.
It can be written as a sum of positive squares in 4 ways, for example, as 842857024 + 265559616 = 29032^2 + 16296^2 .
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 (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61816 + ... + 77704.
Almost surely, 21108416640 is an apocalyptic number.
1108416640 is a gapful number since it is divisible by the number (10) 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 1108416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337143500).
1108416640 is an abundant number, since it is smaller than the sum of its proper divisors (1565870360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1108416640 is a wasteful number, since it uses less digits than its factorization.
1108416640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16017 (or 16005 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 31.
The square root of 1108416640 is about 33292.8917338221. The cubic root of 1108416640 is about 1034.9062561442.
The spelling of 1108416640 in words is "one billion, one hundred eight million, four hundred sixteen thousand, six hundred forty".
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