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12272760 = 2332573467
BaseRepresentation
bin101110110100…
…010001111000
3212002112001200
4232310101320
511120212020
61115014200
7206213433
oct56642170
925075050
1012272760
116a22785
12413a360
1327091b6
1418b681a
151126590
hexbb4478

12272760 has 96 divisors (see below), whose sum is σ = 40519440. Its totient is φ = 3220992.

The previous prime is 12272749. The next prime is 12272779. The reversal of 12272760 is 6727221.

12272760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26047 + ... + 26513.

Almost surely, 212272760 is an apocalyptic number.

12272760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12272760 is the 1752-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12272760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259720).

12272760 is an abundant number, since it is smaller than the sum of its proper divisors (28246680).

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

12272760 is a wasteful number, since it uses less digits than its factorization.

12272760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12272760 is about 3503.2499197174. The cubic root of 12272760 is about 230.6644929833.

Adding to 12272760 its reverse (6727221), we get a palindrome (18999981).

The spelling of 12272760 in words is "twelve million, two hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 467 584 657 730 876 934 1095 1314 1401 1460 1752 1868 2190 2335 2628 2802 2920 3285 3736 4203 4380 4670 5256 5604 6570 7005 8406 8760 9340 11208 13140 14010 16812 18680 21015 26280 28020 33624 34091 42030 56040 68182 84060 102273 136364 168120 170455 204546 272728 306819 340910 409092 511365 613638 681820 818184 1022730 1227276 1363640 1534095 2045460 2454552 3068190 4090920 6136380 12272760