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12089056 = 257291861
BaseRepresentation
bin101110000111…
…011011100000
3211202012001211
4232013123200
511043322211
61111035504
7204520030
oct56073340
924665054
1012089056
116907761
12406bb94
1326736b5
1418698c0
1510dbe21
hexb876e0

12089056 has 48 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 4999680.

The previous prime is 12088991. The next prime is 12089059. The reversal of 12089056 is 65098021.

12089056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120890562 = 292290549942272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089059) 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, 5566 + ... + 7426.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 212089056 is an apocalyptic number.

12089056 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 12089056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

12089056 is an abundant number, since it is smaller than the sum of its proper divisors (16064384).

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

12089056 is a wasteful number, since it uses less digits than its factorization.

12089056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 12089056 is about 3476.9319809280. The cubic root of 12089056 is about 229.5078069564.

The spelling of 12089056 in words is "twelve million, eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1861 3248 3722 6496 7444 13027 14888 26054 29776 52108 53969 59552 104216 107938 208432 215876 377783 416864 431752 755566 863504 1511132 1727008 3022264 6044528 12089056