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13315368 = 23311311627
BaseRepresentation
bin110010110010…
…110100101000
3221001111020210
4302302310220
511402042433
61153221120
7221115213
oct62626450
927044223
1013315368
117575040
1245617a0
1329b2921
141aa877a
151280463
hexcb2d28

13315368 has 64 divisors (see below), whose sum is σ = 37509120. Its totient is φ = 3902400.

The previous prime is 13315361. The next prime is 13315373. The reversal of 13315368 is 86351331.

It is not an unprimeable number, because it can be changed into a prime (13315361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7371 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (586080).

Almost surely, 213315368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13315368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754560).

13315368 is an abundant number, since it is smaller than the sum of its proper divisors (24193752).

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

13315368 is a wasteful number, since it uses less digits than its factorization.

13315368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1674 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 13315368 is about 3649.0228829099. The cubic root of 13315368 is about 237.0196711405.

Adding to 13315368 its reverse (86351331), we get a palindrome (99666699).

The spelling of 13315368 in words is "thirteen million, three hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1627 2046 2728 3254 4092 4881 6508 8184 9762 13016 17897 19524 35794 39048 50437 53691 71588 100874 107382 143176 151311 201748 214764 302622 403496 429528 554807 605244 1109614 1210488 1664421 2219228 3328842 4438456 6657684 13315368