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12086368 = 25779683
BaseRepresentation
bin101110000110…
…110001100000
3211202001101021
4232012301200
511043230433
61111015224
7204506140
oct56066140
924661337
1012086368
116905738
12406a514
1326723c8
141868920
1510db22d
hexb86c60

12086368 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 5106816.

The previous prime is 12086351. The next prime is 12086387. The reversal of 12086368 is 86368021.

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, 17355 + ... + 18037.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212086368 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 12086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12086368 is an abundant number, since it is smaller than the sum of its proper divisors (15492512).

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

12086368 is an equidigital number, since it uses as much as digits as its factorization.

12086368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 12086368 is about 3476.5454117558. The cubic root of 12086368 is about 229.4907953520.

The spelling of 12086368 in words is "twelve million, eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 683 1106 1264 1366 2212 2528 2732 4424 4781 5464 8848 9562 10928 17696 19124 21856 38248 53957 76496 107914 152992 215828 377699 431656 755398 863312 1510796 1726624 3021592 6043184 12086368