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12611728 = 242343797
BaseRepresentation
bin110000000111…
…000010010000
3212201202001001
4300013002100
511212033403
61130151344
7212124613
oct60070220
925652031
1012611728
117134418
124282554
1327c757c
14196417a
151191c1d
hexc07090

12611728 has 40 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 5884032.

The previous prime is 12611713. The next prime is 12611747. The reversal of 12611728 is 82711621.

It is a junction number, because it is equal to n+sod(n) for n = 12611696 and 12611705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15426 + ... + 16222.

Almost surely, 212611728 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 12611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

12611728 is an abundant number, since it is smaller than the sum of its proper divisors (13511600).

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

12611728 is a wasteful number, since it uses less digits than its factorization.

12611728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 12611728 is about 3551.2994804719. The cubic root of 12611728 is about 232.7688522862.

The spelling of 12611728 in words is "twelve million, six hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 797 989 1594 1978 3188 3956 6376 7912 12752 15824 18331 34271 36662 68542 73324 137084 146648 274168 293296 548336 788233 1576466 3152932 6305864 12611728