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12085088 = 253759173
BaseRepresentation
bin101110000110…
…011101100000
3211201222121212
4232012131200
511043210323
61111005252
7204502331
oct56063540
924658555
1012085088
116904784
124069828
132671952
141868288
1510dab78
hexb86760

12085088 has 48 divisors (see below), whose sum is σ = 24993360. Its totient is φ = 5746176.

The previous prime is 12085033. The next prime is 12085103. The reversal of 12085088 is 88058021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69770 + ... + 69942.

It is an arithmetic number, because the mean of its divisors is an integer number (520695).

Almost surely, 212085088 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 12085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496680).

12085088 is an abundant number, since it is smaller than the sum of its proper divisors (12908272).

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

12085088 is a wasteful number, since it uses less digits than its factorization.

12085088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 12085088 is about 3476.3613160890. The cubic root of 12085088 is about 229.4826937015.

The spelling of 12085088 in words is "twelve million, eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 37 59 74 118 148 173 236 296 346 472 592 692 944 1184 1384 1888 2183 2768 4366 5536 6401 8732 10207 12802 17464 20414 25604 34928 40828 51208 69856 81656 102416 163312 204832 326624 377659 755318 1510636 3021272 6042544 12085088