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12090060 = 2234517439
BaseRepresentation
bin101110000111…
…101011001100
3211202020110000
4232013223030
511043340220
61111044300
7204522663
oct56075314
924666400
1012090060
116908494
124070690
132673ca8
141869dda
1510dc390
hexb87acc

12090060 has 120 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 3027456.

The previous prime is 12090053. The next prime is 12090073. The reversal of 12090060 is 6009021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27321 + ... + 27759.

It is an arithmetic number, because the mean of its divisors is an integer number (335412).

Almost surely, 212090060 is an apocalyptic number.

12090060 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 12090060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124720).

12090060 is an abundant number, since it is smaller than the sum of its proper divisors (28159380).

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

12090060 is a wasteful number, since it uses less digits than its factorization.

12090060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12090060 is about 3477.0763580917. The cubic root of 12090060 is about 229.5141603463.

Adding to 12090060 its reverse (6009021), we get a palindrome (18099081).

The spelling of 12090060 in words is "twelve million, ninety thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 439 459 510 540 612 765 810 878 918 1020 1317 1377 1530 1620 1756 1836 2195 2295 2634 2754 3060 3951 4390 4590 5268 5508 6585 6885 7463 7902 8780 9180 11853 13170 13770 14926 15804 19755 22389 23706 26340 27540 29852 35559 37315 39510 44778 47412 59265 67167 71118 74630 79020 89556 111945 118530 134334 142236 149260 177795 201501 223890 237060 268668 335835 355590 403002 447780 604503 671670 711180 806004 1007505 1209006 1343340 2015010 2418012 3022515 4030020 6045030 12090060