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13281660 = 22325783127
BaseRepresentation
bin110010101010…
…100101111100
3220222210000100
4302222211330
511400003120
61152401100
7220615020
oct62524574
926883010
1013281660
117551787
124546190
1329a0492
141a9a380
151275490
hexcaa97c

13281660 has 144 divisors (see below), whose sum is σ = 46964736. Its totient is φ = 2975616.

The previous prime is 13281647. The next prime is 13281661. The reversal of 13281660 is 6618231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 104517 + ... + 104643.

It is an arithmetic number, because the mean of its divisors is an integer number (326144).

Almost surely, 213281660 is an apocalyptic number.

13281660 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 13281660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368).

13281660 is an abundant number, since it is smaller than the sum of its proper divisors (33683076).

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

13281660 is a wasteful number, since it uses less digits than its factorization.

13281660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13281660 is about 3644.4011853801. The cubic root of 13281660 is about 236.8194961654.

Adding to 13281660 its reverse (6618231), we get a palindrome (19899891).

The spelling of 13281660 in words is "thirteen million, two hundred eighty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 127 140 166 180 210 249 252 254 315 332 381 415 420 498 508 581 630 635 747 762 830 889 996 1143 1162 1245 1260 1270 1494 1524 1660 1743 1778 1905 2286 2324 2490 2540 2667 2905 2988 3486 3556 3735 3810 4445 4572 4980 5229 5334 5715 5810 6972 7470 7620 8001 8715 8890 10458 10541 10668 11430 11620 13335 14940 16002 17430 17780 20916 21082 22860 26145 26670 31623 32004 34860 40005 42164 52290 52705 53340 63246 73787 80010 94869 104580 105410 126492 147574 158115 160020 189738 210820 221361 295148 316230 368935 379476 442722 474345 632460 664083 737870 885444 948690 1106805 1328166 1475740 1897380 2213610 2656332 3320415 4427220 6640830 13281660