Base | Representation |
---|---|
bin | 101101110001… |
… | …101111001000 |
3 | 211120200011212 |
4 | 231301233020 |
5 | 11033001300 |
6 | 1105112252 |
7 | 204000002 |
oct | 55615710 |
9 | 24520155 |
10 | 12000200 |
11 | 6856a23 |
12 | 4028688 |
13 | 2642114 |
14 | 1845372 |
15 | 10c0935 |
hex | b71bc8 |
12000200 has 48 divisors (see below), whose sum is σ = 28876500. Its totient is φ = 4632320.
The previous prime is 12000133. The next prime is 12000239. The reversal of 12000200 is 200021.
It can be written as a sum of positive squares in 6 ways, for example, as 2427364 + 9572836 = 1558^2 + 3094^2 .
It is a Harshad number since it is a multiple of its sum of digits (5).
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 11 ways as a sum of consecutive naturals, for example, 4766 + ... + 6834.
Almost surely, 212000200 is an apocalyptic number.
12000200 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 12000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438250).
12000200 is an abundant number, since it is smaller than the sum of its proper divisors (16876300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000200 is a wasteful number, since it uses less digits than its factorization.
12000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 5.
The square root of 12000200 is about 3464.1304825309. The cubic root of 12000200 is about 228.9441204083.
Adding to 12000200 its reverse (200021), we get a palindrome (12200221).
The spelling of 12000200 in words is "twelve million, two hundred", and thus it is an aban number.
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