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12310380 = 2235517149
BaseRepresentation
bin101110111101…
…011101101100
3212011102200000
4232331131230
511122413010
61115504300
7206431215
oct56753554
925142600
1012310380
116a48a75
124158090
132720364
1418c640c
1511327c0
hexbbd76c

12310380 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3068928.

The previous prime is 12310369. The next prime is 12310387. The reversal of 12310380 is 8301321.

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

It is not an unprimeable number, because it can be changed into a prime (12310387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82546 + ... + 82694.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 212310380 is an apocalyptic number.

12310380 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 12310380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12310380 is an abundant number, since it is smaller than the sum of its proper divisors (28967220).

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

12310380 is a wasteful number, since it uses less digits than its factorization.

12310380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12310380 is about 3508.6151114079. The cubic root of 12310380 is about 230.8999397978.

The spelling of 12310380 in words is "twelve million, three hundred ten thousand, three hundred eighty".

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 90 102 108 135 149 153 162 170 180 204 243 255 270 298 306 324 340 405 447 459 486 510 540 596 612 745 765 810 894 918 972 1020 1215 1341 1377 1490 1530 1620 1788 1836 2235 2295 2430 2533 2682 2754 2980 3060 4023 4131 4470 4590 4860 5066 5364 5508 6705 6885 7599 8046 8262 8940 9180 10132 12069 12665 13410 13770 15198 16092 16524 20115 20655 22797 24138 25330 26820 27540 30396 36207 37995 40230 41310 45594 48276 50660 60345 68391 72414 75990 80460 82620 91188 113985 120690 136782 144828 151980 181035 205173 227970 241380 273564 341955 362070 410346 455940 615519 683910 724140 820692 1025865 1231038 1367820 2051730 2462076 3077595 4103460 6155190 12310380