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13315328 = 28134001
BaseRepresentation
bin110010110010…
…110100000000
3221001111012022
4302302310000
511402042303
61153221012
7221115125
oct62626400
927044168
1013315328
117575004
124561768
1329b28c0
141aa874c
151280438
hexcb2d00

13315328 has 36 divisors (see below), whose sum is σ = 28630308. Its totient is φ = 6144000.

The previous prime is 13315319. The next prime is 13315343. The reversal of 13315328 is 82351331.

It can be written as a sum of positive squares in 2 ways, for example, as 1149184 + 12166144 = 1072^2 + 3488^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 13315297 and 13315306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 5328.

Almost surely, 213315328 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 13315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315154).

13315328 is an abundant number, since it is smaller than the sum of its proper divisors (15314980).

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

13315328 is an equidigital number, since it uses as much as digits as its factorization.

13315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4016 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 13315328 is about 3649.0174019865. The cubic root of 13315328 is about 237.0194338008.

Adding to 13315328 its reverse (82351331), we get a palindrome (95666659).

The spelling of 13315328 in words is "thirteen million, three hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 4001 8002 16004 32008 52013 64016 104026 128032 208052 256064 416104 512128 832208 1024256 1664416 3328832 6657664 13315328