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12085660 = 22531101193
BaseRepresentation
bin101110000110…
…100110011100
3211202000102001
4232012212130
511043220120
61111012044
7204504106
oct56064634
924660361
1012085660
116905154
12406a024
132671ca2
141868576
1510dae0a
hexb8699c

12085660 has 48 divisors (see below), whose sum is σ = 26595072. Its totient is φ = 4608000.

The previous prime is 12085631. The next prime is 12085673. The reversal of 12085660 is 6658021.

12085660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62524 + ... + 62716.

It is an arithmetic number, because the mean of its divisors is an integer number (554064).

Almost surely, 212085660 is an apocalyptic number.

12085660 is a gapful number since it is divisible by the number (10) 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 12085660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297536).

12085660 is an abundant number, since it is smaller than the sum of its proper divisors (14509412).

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

12085660 is a wasteful number, since it uses less digits than its factorization.

12085660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 12085660 is about 3476.4435850449. The cubic root of 12085660 is about 229.4863141973.

The spelling of 12085660 in words is "twelve million, eighty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 193 202 310 386 404 505 620 772 965 1010 1930 2020 3131 3860 5983 6262 11966 12524 15655 19493 23932 29915 31310 38986 59830 62620 77972 97465 119660 194930 389860 604283 1208566 2417132 3021415 6042830 12085660