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13097160 = 2333567181
BaseRepresentation
bin110001111101…
…100011001000
3220122101221000
4301331203020
511323102120
61144415000
7216216066
oct61754310
926571830
1013097160
1174360aa
124477460
1329374cb
141a4d036
15123a990
hexc7d8c8

13097160 has 128 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 3421440.

The previous prime is 13097153. The next prime is 13097177. The reversal of 13097160 is 6179031.

13097160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 36192-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72270 + ... + 72450.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 213097160 is an apocalyptic number.

13097160 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 13097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

13097160 is an abundant number, since it is smaller than the sum of its proper divisors (31456440).

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

13097160 is a wasteful number, since it uses less digits than its factorization.

13097160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13097160 is about 3618.9998618403. Note that the first 3 decimals coincide. The cubic root of 13097160 is about 235.7177992392.

The spelling of 13097160 in words is "thirteen million, ninety-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 181 201 216 268 270 335 360 362 402 536 540 543 603 670 724 804 905 1005 1080 1086 1206 1340 1448 1608 1629 1809 1810 2010 2172 2412 2680 2715 3015 3258 3618 3620 4020 4344 4824 4887 5430 6030 6516 7236 7240 8040 8145 9045 9774 10860 12060 12127 13032 14472 16290 18090 19548 21720 24120 24254 24435 32580 36180 36381 39096 48508 48870 60635 65160 72360 72762 97016 97740 109143 121270 145524 181905 195480 218286 242540 291048 327429 363810 436572 485080 545715 654858 727620 873144 1091430 1309716 1455240 1637145 2182860 2619432 3274290 4365720 6548580 13097160