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12262080 = 263553241
BaseRepresentation
bin101110110001…
…101011000000
3212001222102010
4232301223000
511114341310
61114452520
7206140335
oct56615300
925058363
1012262080
116a15756
124134140
13270438c
1418b298c
151123320
hexbb1ac0

12262080 has 112 divisors (see below), whose sum is σ = 39831264. Its totient is φ = 3194880.

The previous prime is 12262079. The next prime is 12262097. The reversal of 12262080 is 8026221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50760 + ... + 51000.

Almost surely, 212262080 is an apocalyptic number.

12262080 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 12262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915632).

12262080 is an abundant number, since it is smaller than the sum of its proper divisors (27569184).

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

12262080 is a wasteful number, since it uses less digits than its factorization.

12262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12262080 is about 3501.7252890540. The cubic root of 12262080 is about 230.5975639545.

The spelling of 12262080 in words is "twelve million, two hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 241 265 318 320 424 480 482 530 636 723 795 848 960 964 1060 1205 1272 1446 1590 1696 1928 2120 2410 2544 2892 3180 3392 3615 3856 4240 4820 5088 5784 6360 7230 7712 8480 9640 10176 11568 12720 12773 14460 15424 16960 19280 23136 25440 25546 28920 38319 38560 46272 50880 51092 57840 63865 76638 77120 102184 115680 127730 153276 191595 204368 231360 255460 306552 383190 408736 510920 613104 766380 817472 1021840 1226208 1532760 2043680 2452416 3065520 4087360 6131040 12262080