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12107264 = 291317107
BaseRepresentation
bin101110001011…
…111000000000
3211210010001012
4232023320000
511044413024
61111300052
7204624101
oct56137000
924703035
1012107264
11691a404
12407a628
13267ba80
1418723a8
1510e250e
hexb8be00

12107264 has 80 divisors (see below), whose sum is σ = 27841968. Its totient is φ = 5210112.

The previous prime is 12107261. The next prime is 12107279. The reversal of 12107264 is 46270121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113099 + ... + 113205.

Almost surely, 212107264 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 12107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920984).

12107264 is an abundant number, since it is smaller than the sum of its proper divisors (15734704).

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

12107264 is a wasteful number, since it uses less digits than its factorization.

12107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12107264 is about 3479.5493961144. The cubic root of 12107264 is about 229.6229739827.

Adding to 12107264 its reverse (46270121), we get a palindrome (58377385).

The spelling of 12107264 in words is "twelve million, one hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 107 128 136 208 214 221 256 272 416 428 442 512 544 832 856 884 1088 1391 1664 1712 1768 1819 2176 2782 3328 3424 3536 3638 4352 5564 6656 6848 7072 7276 8704 11128 13696 14144 14552 22256 23647 27392 28288 29104 44512 47294 54784 56576 58208 89024 94588 113152 116416 178048 189176 232832 356096 378352 465664 712192 756704 931328 1513408 3026816 6053632 12107264