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12885306 = 2371967241
BaseRepresentation
bin110001001001…
…110100111010
3220020122022120
4301021310322
511244312211
61140102110
7214344330
oct61116472
926218276
1012885306
117300a15
124394936
132891c55
1419d5b50
1511e7d06
hexc49d3a

12885306 has 64 divisors (see below), whose sum is σ = 31595520. Its totient is φ = 3421440.

The previous prime is 12885289. The next prime is 12885317. The reversal of 12885306 is 60358821.

It is a happy number.

12885306 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128853062 = 332062221427272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53346 + ... + 53586.

It is an arithmetic number, because the mean of its divisors is an integer number (493680).

Almost surely, 212885306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12885306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797760).

12885306 is an abundant number, since it is smaller than the sum of its proper divisors (18710214).

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

12885306 is a wasteful number, since it uses less digits than its factorization.

12885306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12885306 is about 3589.6108424173. The cubic root of 12885306 is about 234.4399277539.

The spelling of 12885306 in words is "twelve million, eight hundred eighty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 67 114 133 134 201 241 266 399 402 469 482 723 798 938 1273 1407 1446 1687 2546 2814 3374 3819 4579 5061 7638 8911 9158 10122 13737 16147 17822 26733 27474 32053 32294 48441 53466 64106 96159 96882 113029 192318 226058 306793 339087 613586 678174 920379 1840758 2147551 4295102 6442653 12885306