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12285696 = 28317941
BaseRepresentation
bin101110110111…
…011100000000
3212010011210210
4232313130000
511121120241
61115154120
7206266233
oct56673400
925104723
1012285696
116a31475
124145940
132712057
1418bb41a
15112a316
hexbb7700

12285696 has 72 divisors (see below), whose sum is σ = 34658064. Its totient is φ = 3850240.

The previous prime is 12285683. The next prime is 12285709. The reversal of 12285696 is 69658221.

12285696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12285683) and next prime (12285709).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12586 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (481362).

Almost surely, 212285696 is an apocalyptic number.

12285696 is a gapful number since it is divisible by the number (16) 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 12285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329032).

12285696 is an abundant number, since it is smaller than the sum of its proper divisors (22372368).

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

12285696 is an equidigital number, since it uses as much as digits as its factorization.

12285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 12285696 is about 3505.0957190924. The cubic root of 12285696 is about 230.7455078520.

The spelling of 12285696 in words is "twelve million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 941 1088 1632 1882 2176 2823 3264 3764 4352 5646 6528 7528 11292 13056 15056 15997 22584 30112 31994 45168 47991 60224 63988 90336 95982 120448 127976 180672 191964 240896 255952 361344 383928 511904 722688 767856 1023808 1535712 2047616 3071424 4095232 6142848 12285696