Base | Representation |
---|---|
bin | 101111000010… |
… | …111111001110 |
3 | 212012120201000 |
4 | 233002333032 |
5 | 11124124011 |
6 | 1120201130 |
7 | 206554200 |
oct | 57027716 |
9 | 25176630 |
10 | 12333006 |
11 | 6a63a74 |
12 | 41691a6 |
13 | 272a74a |
14 | 18d0770 |
15 | 1139356 |
hex | bc2fce |
12333006 has 96 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3420144.
The previous prime is 12333001. The next prime is 12333017. The reversal of 12333006 is 60033321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 12333006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12333001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156075 + ... + 156153.
It is an arithmetic number, because the mean of its divisors is an integer number (342000).
Almost surely, 212333006 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12333006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).
12333006 is an abundant number, since it is smaller than the sum of its proper divisors (20498994).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12333006 is a wasteful number, since it uses less digits than its factorization.
12333006 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 12333006 is about 3511.8379803174. The cubic root of 12333006 is about 231.0413149243.
Adding to 12333006 its reverse (60033321), we get a palindrome (72366327).
The spelling of 12333006 in words is "twelve million, three hundred thirty-three thousand, six".
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