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13246320 = 243597569
BaseRepresentation
bin110010100001…
…111101110000
3220220222112110
4302201331300
511342340240
61151525320
7220410003
oct62417560
926828473
1013246320
11752817a
124529840
13298a379
141a8b53a
151269c80
hexca1f70

13246320 has 80 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 3489792.

The previous prime is 13246319. The next prime is 13246357. The reversal of 13246320 is 2364231.

It is a happy number.

13246320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22996 + ... + 23564.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 213246320 is an apocalyptic number.

13246320 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 13246320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

13246320 is an abundant number, since it is smaller than the sum of its proper divisors (28313520).

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

13246320 is a wasteful number, since it uses less digits than its factorization.

13246320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13246320 is about 3639.5494226621. The cubic root of 13246320 is about 236.6092655430.

The spelling of 13246320 in words is "thirteen million, two hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 569 582 776 970 1138 1164 1455 1552 1707 1940 2276 2328 2845 2910 3414 3880 4552 4656 5690 5820 6828 7760 8535 9104 11380 11640 13656 17070 22760 23280 27312 34140 45520 55193 68280 110386 136560 165579 220772 275965 331158 441544 551930 662316 827895 883088 1103860 1324632 1655790 2207720 2649264 3311580 4415440 6623160 13246320