Base | Representation |
---|---|
bin | 1100101000101… |
… | …10111111010000 |
3 | 21101110101010101 |
4 | 12110112333100 |
5 | 204114002321 |
6 | 14303542144 |
7 | 2424662611 |
oct | 624267720 |
9 | 241411111 |
10 | 106000336 |
11 | 5491a692 |
12 | 2b5ba954 |
13 | 18c649c0 |
14 | 10113c08 |
15 | 948c791 |
hex | 6516fd0 |
106000336 has 40 divisors (see below), whose sum is σ = 228813480. Its totient is φ = 47233536.
The previous prime is 106000331. The next prime is 106000337. The reversal of 106000336 is 633000601.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 96040000 = 3156^2 + 9800^2 .
It is a super-2 number, since 2×1060003362 = 22472142464225792, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106000331) 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, 2755 + ... + 14818.
It is an arithmetic number, because the mean of its divisors is an integer number (5720337).
Almost surely, 2106000336 is an apocalyptic number.
106000336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
106000336 is an abundant number, since it is smaller than the sum of its proper divisors (122813144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106000336 is a wasteful number, since it uses less digits than its factorization.
106000336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17623 (or 17617 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
The square root of 106000336 is about 10295.6464585766. The cubic root of 106000336 is about 473.2628491666.
Adding to 106000336 its reverse (633000601), we get a palindrome (739000937).
The spelling of 106000336 in words is "one hundred six million, three hundred thirty-six", and thus it is an aban number.
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