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13681260 = 22325172263
BaseRepresentation
bin110100001100…
…001001101100
3221202002011100
4310030021230
512000300020
61205123100
7224201025
oct64141154
927662140
1013681260
1177a4a2a
1246b9490
132ab0328
141b61c4c
151303a90
hexd0c26c

13681260 has 108 divisors (see below), whose sum is σ = 44252208. Its totient is φ = 3420672.

The previous prime is 13681259. The next prime is 13681271. The reversal of 13681260 is 6218631.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51889 + ... + 52151.

Almost surely, 213681260 is an apocalyptic number.

13681260 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 13681260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126104).

13681260 is an abundant number, since it is smaller than the sum of its proper divisors (30570948).

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

13681260 is a wasteful number, since it uses less digits than its factorization.

13681260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

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

The square root of 13681260 is about 3698.8187303516. The cubic root of 13681260 is about 239.1710988075.

Adding to 13681260 its reverse (6218631), we get a palindrome (19899891).

It can be divided in two parts, 1368 and 1260, that added together give a triangular number (2628 = T72).

The spelling of 13681260 in words is "thirteen million, six hundred eighty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 263 289 306 340 510 526 578 612 765 789 867 1020 1052 1156 1315 1445 1530 1578 1734 2367 2601 2630 2890 3060 3156 3468 3945 4335 4471 4734 5202 5260 5780 7890 8670 8942 9468 10404 11835 13005 13413 15780 17340 17884 22355 23670 26010 26826 40239 44710 47340 52020 53652 67065 76007 80478 89420 134130 152014 160956 201195 228021 268260 304028 380035 402390 456042 684063 760070 804780 912084 1140105 1368126 1520140 2280210 2736252 3420315 4560420 6840630 13681260