Search a number
-
+
13121160 = 2335132647
BaseRepresentation
bin110010000011…
…011010001000
3220200121211220
4302003122020
511324334120
61145122040
7216346053
oct62033210
926617756
1013121160
117452138
124489320
132945400
141a57a9a
151242b40
hexc83688

13121160 has 96 divisors (see below), whose sum is σ = 42690240. Its totient is φ = 3224832.

The previous prime is 13121159. The next prime is 13121203. The reversal of 13121160 is 6112131.

13121160 = T211 + T212 + ... + T444.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19957 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (444690).

Almost surely, 213121160 is an apocalyptic number.

13121160 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 13121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345120).

13121160 is an abundant number, since it is smaller than the sum of its proper divisors (29569080).

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

13121160 is a wasteful number, since it uses less digits than its factorization.

13121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 13121160 is about 3622.3141774286. The cubic root of 13121160 is about 235.8616923975.

Adding to 13121160 its reverse (6112131), we get a palindrome (19233291).

The spelling of 13121160 in words is "thirteen million, one hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 647 676 780 845 1014 1294 1352 1560 1690 1941 2028 2535 2588 3235 3380 3882 4056 5070 5176 6470 6760 7764 8411 9705 10140 12940 15528 16822 19410 20280 25233 25880 33644 38820 42055 50466 67288 77640 84110 100932 109343 126165 168220 201864 218686 252330 328029 336440 437372 504660 546715 656058 874744 1009320 1093430 1312116 1640145 2186860 2624232 3280290 4373720 6560580 13121160