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12085104 = 243793187
BaseRepresentation
bin101110000110…
…011101110000
3211201222122110
4232012131300
511043210404
61111005320
7204502353
oct56063560
924658573
1012085104
116904799
124069840
132671965
14186829a
1510dab89
hexb86770

12085104 has 40 divisors (see below), whose sum is σ = 31624960. Its totient is φ = 3976128.

The previous prime is 12085103. The next prime is 12085109. The reversal of 12085104 is 40158021.

12085104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085103) 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, 2199 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (790624).

Almost surely, 212085104 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 12085104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812480).

12085104 is an abundant number, since it is smaller than the sum of its proper divisors (19539856).

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

12085104 is a wasteful number, since it uses less digits than its factorization.

12085104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12085104 is about 3476.3636173450. The cubic root of 12085104 is about 229.4827949757.

The spelling of 12085104 in words is "twelve million, eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3187 3792 6374 9561 12748 19122 25496 38244 50992 76488 152976 251773 503546 755319 1007092 1510638 2014184 3021276 4028368 6042552 12085104