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12000208 = 2411411663
BaseRepresentation
bin101101110001…
…101111010000
3211120200012011
4231301233100
511033001313
61105112304
7204000013
oct55615720
924520164
1012000208
116856a30
124028694
13264211c
14184537a
1510c093d
hexb71bd0

12000208 has 40 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 5318400.

The previous prime is 12000133. The next prime is 12000239. The reversal of 12000208 is 80200021.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6385 + ... + 8047.

Almost surely, 212000208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

12000208 is an abundant number, since it is smaller than the sum of its proper divisors (13998128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12000208 is a wasteful number, since it uses less digits than its factorization.

12000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12000208 is about 3464.1316372217. The cubic root of 12000208 is about 228.9441712839.

Adding to 12000208 its reverse (80200021), we get a palindrome (92200229).

The spelling of 12000208 in words is "twelve million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1663 1804 3326 3608 6652 7216 13304 18293 26608 36586 68183 73172 136366 146344 272732 292688 545464 750013 1090928 1500026 3000052 6000104 12000208