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12085060 = 2251353877
BaseRepresentation
bin101110000110…
…011101000100
3211201222120211
4232012131010
511043210220
61111005204
7204502261
oct56063504
924658524
1012085060
116904759
124069804
132671930
141868268
1510dab5a
hexb86744

12085060 has 48 divisors (see below), whose sum is σ = 27878256. Its totient is φ = 4372992.

The previous prime is 12085033. The next prime is 12085103. The reversal of 12085060 is 6058021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16384 + 12068676 = 128^2 + 3474^2 .

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 15 ways as a sum of consecutive naturals, for example, 13342 + ... + 14218.

It is an arithmetic number, because the mean of its divisors is an integer number (580797).

Almost surely, 212085060 is an apocalyptic number.

12085060 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 12085060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939128).

12085060 is an abundant number, since it is smaller than the sum of its proper divisors (15793196).

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

12085060 is a wasteful number, since it uses less digits than its factorization.

12085060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12085060 is about 3476.3572888873. The cubic root of 12085060 is about 229.4825164715.

The spelling of 12085060 in words is "twelve million, eighty-five thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 877 1060 1378 1754 2756 3445 3508 4385 6890 8770 11401 13780 17540 22802 45604 46481 57005 92962 114010 185924 228020 232405 464810 604253 929620 1208506 2417012 3021265 6042530 12085060