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13321728 = 29327259
BaseRepresentation
bin110010110100…
…011000000000
3221001210222100
4302310120000
511402243403
61153310400
7221142600
oct62643000
927053870
1013321728
1175798a2
124565400
1329b57a4
141aaac00
1512822a3
hexcb4600

13321728 has 180 divisors, whose sum is σ = 45482580. Its totient is φ = 3741696.

The previous prime is 13321699. The next prime is 13321741. The reversal of 13321728 is 82712331.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225763 + ... + 225821.

It is an arithmetic number, because the mean of its divisors is an integer number (252681).

Almost surely, 213321728 is an apocalyptic number.

13321728 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 13321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741290).

13321728 is an abundant number, since it is smaller than the sum of its proper divisors (32160852).

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

13321728 is an equidigital number, since it uses as much as digits as its factorization.

13321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13321728 is about 3649.8942450433. The cubic root of 13321728 is about 237.0574021083.

The spelling of 13321728 in words is "thirteen million, three hundred twenty-one thousand, seven hundred twenty-eight".