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13227760 = 2457132379
BaseRepresentation
bin110010011101…
…011011110000
3220220001002001
4302131123300
511341242020
61151303344
7220301620
oct62353360
926801061
1013227760
117515237
12451ab54
132981aa0
141a84880
15126450a
hexc9d6f0

13227760 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3953664.

The previous prime is 13227757. The next prime is 13227811. The reversal of 13227760 is 6772231.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 167401 + ... + 167479.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 213227760 is an apocalyptic number.

13227760 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 13227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

13227760 is an abundant number, since it is smaller than the sum of its proper divisors (26769680).

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

13227760 is a wasteful number, since it uses less digits than its factorization.

13227760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13227760 is about 3636.9987627163. The cubic root of 13227760 is about 236.4987060167.

Adding to 13227760 its reverse (6772231), we get a palindrome (19999991).

The spelling of 13227760 in words is "thirteen million, two hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 23 26 28 35 40 46 52 56 65 70 79 80 91 92 104 112 115 130 140 158 161 182 184 208 230 260 280 299 316 322 364 368 395 455 460 520 553 560 598 632 644 728 790 805 910 920 1027 1040 1106 1196 1264 1288 1456 1495 1580 1610 1817 1820 1840 2054 2093 2212 2392 2576 2765 2990 3160 3220 3634 3640 4108 4186 4424 4784 5135 5530 5980 6320 6440 7189 7268 7280 8216 8372 8848 9085 10270 10465 11060 11960 12719 12880 14378 14536 16432 16744 18170 20540 20930 22120 23621 23920 25438 28756 29072 33488 35945 36340 41080 41860 44240 47242 50876 57512 63595 71890 72680 82160 83720 94484 101752 115024 118105 127190 143780 145360 165347 167440 188968 203504 236210 254380 287560 330694 377936 472420 508760 575120 661388 826735 944840 1017520 1322776 1653470 1889680 2645552 3306940 6613880 13227760