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12276660 = 22351121989
BaseRepresentation
bin101110110101…
…001110110100
3212002201102010
4232311032310
511120323120
61115044220
7206231004
oct56651664
925081363
1012276660
116a25700
124140670
13270abc6
1418b8004
1511277e0
hexbb53b4

12276660 has 144 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 2787840.

The previous prime is 12276643. The next prime is 12276683. The reversal of 12276660 is 6667221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137896 + ... + 137984.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 212276660 is an apocalyptic number.

12276660 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 12276660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

12276660 is an abundant number, since it is smaller than the sum of its proper divisors (27942540).

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

12276660 is a wasteful number, since it uses less digits than its factorization.

12276660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12276660 is about 3503.8065015066. The cubic root of 12276660 is about 230.6889236805.

It can be divided in two parts, 1227 and 6660, that added together give a palindrome (7887).

The spelling of 12276660 in words is "twelve million, two hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 89 95 110 114 121 132 165 178 190 209 220 228 242 267 285 330 356 363 380 418 445 484 534 570 605 627 660 726 836 890 979 1045 1068 1140 1210 1254 1335 1452 1691 1780 1815 1958 2090 2299 2420 2508 2670 2937 3135 3382 3630 3916 4180 4598 4895 5073 5340 5874 6270 6764 6897 7260 8455 9196 9790 10146 10769 11495 11748 12540 13794 14685 16910 18601 19580 20292 21538 22990 25365 27588 29370 32307 33820 34485 37202 43076 45980 50730 53845 55803 58740 64614 68970 74404 93005 101460 107690 111606 129228 137940 161535 186010 204611 215380 223212 279015 323070 372020 409222 558030 613833 646140 818444 1023055 1116060 1227666 2046110 2455332 3069165 4092220 6138330 12276660