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12663560 = 235731371
BaseRepresentation
bin110000010011…
…101100001000
3212211101010202
4300103230020
511220213220
61131231332
7212432000
oct60235410
925741122
1012663560
11716a358
1242a8548
132815040
141979000
1511a2275
hexc13b08

12663560 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3951360.

The previous prime is 12663493. The next prime is 12663569. The reversal of 12663560 is 6536621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178325 + ... + 178395.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 212663560 is an apocalyptic number.

12663560 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 12663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12663560 is an abundant number, since it is smaller than the sum of its proper divisors (23624440).

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

12663560 is a wasteful number, since it uses less digits than its factorization.

12663560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 12663560 is about 3558.5896082577. The cubic root of 12663560 is about 233.0872962142.

The spelling of 12663560 in words is "twelve million, six hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 71 91 98 104 130 140 142 182 196 245 260 280 284 343 355 364 392 455 490 497 520 568 637 686 710 728 910 923 980 994 1274 1372 1420 1715 1820 1846 1960 1988 2485 2548 2744 2840 3185 3430 3479 3640 3692 3976 4459 4615 4970 5096 6370 6461 6860 6958 7384 8918 9230 9940 12740 12922 13720 13916 17395 17836 18460 19880 22295 24353 25480 25844 27832 32305 34790 35672 36920 44590 45227 48706 51688 64610 69580 89180 90454 97412 121765 129220 139160 178360 180908 194824 226135 243530 258440 316589 361816 452270 487060 633178 904540 974120 1266356 1582945 1809080 2532712 3165890 6331780 12663560