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13022120 = 2354367113
BaseRepresentation
bin110001101011…
…001110101000
3220111120222202
4301223032220
511313201440
61143035332
7215454236
oct61531650
926446882
1013022120
117394791
12443bb48
13290c2c7
141a2d956
151223615
hexc6b3a8

13022120 has 64 divisors (see below), whose sum is σ = 30697920. Its totient is φ = 4967424.

The previous prime is 13022099. The next prime is 13022129. The reversal of 13022120 is 2122031.

It is a happy number.

13022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13022129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115184 + ... + 115296.

It is an arithmetic number, because the mean of its divisors is an integer number (479655).

Almost surely, 213022120 is an apocalyptic number.

13022120 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 13022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348960).

13022120 is an abundant number, since it is smaller than the sum of its proper divisors (17675800).

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

13022120 is a wasteful number, since it uses less digits than its factorization.

13022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13022120 is about 3608.6174637941. The cubic root of 13022120 is about 235.2667560830.

Adding to 13022120 its reverse (2122031), we get a palindrome (15144151).

The spelling of 13022120 in words is "thirteen million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 113 134 172 215 226 268 335 344 430 452 536 565 670 860 904 1130 1340 1720 2260 2680 2881 4520 4859 5762 7571 9718 11524 14405 15142 19436 23048 24295 28810 30284 37855 38872 48590 57620 60568 75710 97180 115240 151420 194360 302840 325553 651106 1302212 1627765 2604424 3255530 6511060 13022120