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13227328 = 263159113
BaseRepresentation
bin110010011101…
…010101000000
3220220000111001
4302131111000
511341233303
61151301344
7220300432
oct62352500
926800431
1013227328
117514984
12451a854
13298182a
141a84652
15126431d
hexc9d540

13227328 has 56 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 6236160.

The previous prime is 13227317. The next prime is 13227329. The reversal of 13227328 is 82372231.

It is a junction number, because it is equal to n+sod(n) for n = 13227296 and 13227305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117000 + ... + 117112.

Almost surely, 213227328 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 13227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

13227328 is an abundant number, since it is smaller than the sum of its proper divisors (14570432).

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

13227328 is a wasteful number, since it uses less digits than its factorization.

13227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 13227328 is about 3636.9393726044. The cubic root of 13227328 is about 236.4961314172.

Adding to 13227328 its reverse (82372231), we get a palindrome (95599559).

The spelling of 13227328 in words is "thirteen million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 59 62 64 113 118 124 226 236 248 452 472 496 904 944 992 1808 1829 1888 1984 3503 3616 3658 3776 6667 7006 7232 7316 13334 14012 14632 26668 28024 29264 53336 56048 58528 106672 112096 117056 206677 213344 224192 413354 426688 826708 1653416 3306832 6613664 13227328