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13722368 = 28112443
BaseRepresentation
bin110100010110…
…001100000000
3221211011112212
4310112030000
512003103433
61210041252
7224431622
oct64261400
927734485
1013722368
117822900
124719228
132ac5c5a
141b72c12
151310d48
hexd16300

13722368 has 54 divisors (see below), whose sum is σ = 30175572. Its totient is φ = 6223360.

The previous prime is 13722361. The next prime is 13722403. The reversal of 13722368 is 86322731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13722361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30755 + ... + 31197.

Almost surely, 213722368 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 13722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087786).

13722368 is an abundant number, since it is smaller than the sum of its proper divisors (16453204).

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

13722368 is an equidigital number, since it uses as much as digits as its factorization.

13722368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 13722368 is about 3704.3714716535. The cubic root of 13722368 is about 239.4104046099.

13722368 divided by its sum of digits (32) gives a palindrome (428824).

The spelling of 13722368 in words is "thirteen million, seven hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 443 484 704 886 968 1408 1772 1936 2816 3544 3872 4873 7088 7744 9746 14176 15488 19492 28352 30976 38984 53603 56704 77968 107206 113408 155936 214412 311872 428824 623744 857648 1247488 1715296 3430592 6861184 13722368