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13568328 = 2332316079
BaseRepresentation
bin110011110000…
…100101001000
3221112100020200
4303300211020
511433141303
61202452200
7223220544
oct63604510
927470220
1013568328
1177280a4
124664060
132a70ac7
141b32a24
1512d03a3
hexcf0948

13568328 has 48 divisors (see below), whose sum is σ = 37939200. Its totient is φ = 4376160.

The previous prime is 13568323. The next prime is 13568339. The reversal of 13568328 is 82386531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13568292 and 13568301.

It is not an unprimeable number, because it can be changed into a prime (13568323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (790400).

Almost surely, 213568328 is an apocalyptic number.

13568328 is a gapful number since it is divisible by the number (18) 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 13568328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969600).

13568328 is an abundant number, since it is smaller than the sum of its proper divisors (24370872).

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

13568328 is a wasteful number, since it uses less digits than its factorization.

13568328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6115 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13568328 is about 3683.5211415166. The cubic root of 13568328 is about 238.5112002440.

The spelling of 13568328 in words is "thirteen million, five hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 6079 12158 18237 24316 36474 48632 54711 72948 109422 145896 188449 218844 376898 437688 565347 753796 1130694 1507592 1696041 2261388 3392082 4522776 6784164 13568328