Search a number
-
+
12861180 = 2234517467
BaseRepresentation
bin110001000011…
…111011111100
3220012102020000
4301003323330
511243024210
61135354300
7214214103
oct61037374
926172200
1012861180
117294882
124382990
132883c87
1419cb03a
1511e0ac0
hexc43efc

12861180 has 120 divisors (see below), whose sum is σ = 42810768. Its totient is φ = 3220992.

The previous prime is 12861169. The next prime is 12861203. The reversal of 12861180 is 8116821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27307 + ... + 27773.

Almost surely, 212861180 is an apocalyptic number.

12861180 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 12861180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405384).

12861180 is an abundant number, since it is smaller than the sum of its proper divisors (29949588).

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

12861180 is a wasteful number, since it uses less digits than its factorization.

12861180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12861180 is about 3586.2487364933. The cubic root of 12861180 is about 234.2935172750.

It can be divided in two parts, 12861 and 180, that added together give a triangular number (13041 = T161).

The spelling of 12861180 in words is "twelve million, eight hundred sixty-one thousand, one 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 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 467 510 540 612 765 810 918 934 1020 1377 1401 1530 1620 1836 1868 2295 2335 2754 2802 3060 4203 4590 4670 5508 5604 6885 7005 7939 8406 9180 9340 12609 13770 14010 15878 16812 21015 23817 25218 27540 28020 31756 37827 39695 42030 47634 50436 63045 71451 75654 79390 84060 95268 119085 126090 142902 151308 158780 189135 214353 238170 252180 285804 357255 378270 428706 476340 643059 714510 756540 857412 1071765 1286118 1429020 2143530 2572236 3215295 4287060 6430590 12861180