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12009660 = 22351389173
BaseRepresentation
bin101101110100…
…000010111100
3211121011011020
4231310002330
511033302120
61105224140
7204036405
oct55640274
924534136
1012009660
116863043
124032050
132646510
1418489ac
1510c3640
hexb740bc

12009660 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 2906112.

The previous prime is 12009643. The next prime is 12009707. The reversal of 12009660 is 6690021.

12009660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12009660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69334 + ... + 69506.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 212009660 is an apocalyptic number.

12009660 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 12009660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

12009660 is an abundant number, since it is smaller than the sum of its proper divisors (24822660).

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

12009660 is a wasteful number, since it uses less digits than its factorization.

12009660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12009660 is about 3465.4956355477. The cubic root of 12009660 is about 229.0042650312.

Adding to 12009660 its reverse (6690021), we get a palindrome (18699681).

The spelling of 12009660 in words is "twelve million, nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 173 178 195 260 267 346 356 390 445 519 534 692 780 865 890 1038 1068 1157 1335 1730 1780 2076 2249 2314 2595 2670 3460 3471 4498 4628 5190 5340 5785 6747 6942 8996 10380 11245 11570 13494 13884 15397 17355 22490 23140 26988 30794 33735 34710 44980 46191 61588 67470 69420 76985 92382 134940 153970 184764 200161 230955 307940 400322 461910 600483 800644 923820 1000805 1200966 2001610 2401932 3002415 4003220 6004830 12009660