Base | Representation |
---|---|
bin | 1100101101101… |
… | …11000101000010 |
3 | 21102200200121200 |
4 | 12112313011002 |
5 | 204300443231 |
6 | 14330002030 |
7 | 2433363426 |
oct | 626670502 |
9 | 242620550 |
10 | 106656066 |
11 | 55228310 |
12 | 2b876316 |
13 | 191342ca |
14 | 10244b86 |
15 | 956bbe6 |
hex | 65b7142 |
106656066 has 96 divisors (see below), whose sum is σ = 262649088. Its totient is φ = 31000320.
The previous prime is 106656049. The next prime is 106656073. The reversal of 106656066 is 660656601.
It is a super-2 number, since 2×1066560662 = 22751032829192712, which contains 22 as substring.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 106656066.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679260 + ... + 679416.
It is an arithmetic number, because the mean of its divisors is an integer number (2735928).
Almost surely, 2106656066 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106656066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131324544).
106656066 is an abundant number, since it is smaller than the sum of its proper divisors (155993022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106656066 is a wasteful number, since it uses less digits than its factorization.
106656066 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 296 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 106656066 is about 10327.4423745669. The cubic root of 106656066 is about 474.2367294781.
The spelling of 106656066 in words is "one hundred six million, six hundred fifty-six thousand, sixty-six".
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