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13313160 = 233457587
BaseRepresentation
bin110010110010…
…010010001000
3221001101020000
4302302102020
511402010120
61153203000
7221105610
oct62622210
927041200
1013313160
117573413
124560460
1329b1913
141aa7a40
15127e990
hexcb2488

13313160 has 160 divisors (see below), whose sum is σ = 51226560. Its totient is φ = 3037824.

The previous prime is 13313147. The next prime is 13313161. The reversal of 13313160 is 6131331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13313161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22387 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 213313160 is an apocalyptic number.

13313160 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 13313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

13313160 is an abundant number, since it is smaller than the sum of its proper divisors (37913400).

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

13313160 is a wasteful number, since it uses less digits than its factorization.

13313160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13313160 is about 3648.7203236203. The cubic root of 13313160 is about 237.0065692779.

Adding to 13313160 its reverse (6131331), we get a palindrome (19444491).

The spelling of 13313160 in words is "thirteen million, three hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 587 630 648 756 810 840 945 1080 1134 1174 1260 1512 1620 1761 1890 2268 2348 2520 2835 2935 3240 3522 3780 4109 4536 4696 5283 5670 5870 7044 7560 8218 8805 10566 11340 11740 12327 14088 15849 16436 17610 20545 21132 22680 23480 24654 26415 31698 32872 35220 36981 41090 42264 47547 49308 52830 61635 63396 70440 73962 79245 82180 95094 98616 105660 110943 123270 126792 147924 158490 164360 184905 190188 211320 221886 237735 246540 295848 316980 332829 369810 380376 443772 475470 493080 554715 633960 665658 739620 887544 950940 1109430 1331316 1479240 1664145 1901880 2218860 2662632 3328290 4437720 6656580 13313160