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12242580 = 22357103283
BaseRepresentation
bin101110101100…
…111010010100
3212000222122220
4232230322110
511113230310
61114222340
7206026440
oct56547224
925028586
1012242580
116a02039
1241249b0
1326c853c
1418a9820
15111c670
hexbace94

12242580 has 96 divisors (see below), whose sum is σ = 39696384. Its totient is φ = 2761344.

The previous prime is 12242579. The next prime is 12242617. The reversal of 12242580 is 8524221.

It is a self number, because there is not a number n which added to its sum of digits gives 12242580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43119 + ... + 43401.

It is an arithmetic number, because the mean of its divisors is an integer number (413504).

Almost surely, 212242580 is an apocalyptic number.

12242580 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 12242580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848192).

12242580 is an abundant number, since it is smaller than the sum of its proper divisors (27453804).

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

12242580 is a wasteful number, since it uses less digits than its factorization.

12242580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12242580 is about 3498.9398394371. The cubic root of 12242580 is about 230.4752617503.

The spelling of 12242580 in words is "twelve million, two hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 283 309 412 420 515 566 618 721 849 1030 1132 1236 1415 1442 1545 1698 1981 2060 2163 2830 2884 3090 3396 3605 3962 4245 4326 5660 5943 6180 7210 7924 8490 8652 9905 10815 11886 14420 16980 19810 21630 23772 29149 29715 39620 43260 58298 59430 87447 116596 118860 145745 174894 204043 291490 349788 408086 437235 582980 612129 816172 874470 1020215 1224258 1748940 2040430 2448516 3060645 4080860 6121290 12242580