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13728301 is a prime number
BaseRepresentation
bin110100010111…
…101000101101
3221211110200121
4310113220231
512003301201
61210124541
7224455126
oct64275055
927743617
1013728301
117827304
124720751
132ac8872
141b7504d
1513129a1
hexd17a2d

13728301 has 2 divisors, whose sum is σ = 13728302. Its totient is φ = 13728300.

The previous prime is 13728289. The next prime is 13728329. The reversal of 13728301 is 10382731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12040900 + 1687401 = 3470^2 + 1299^2 .

It is a cyclic number.

It is not a de Polignac number, because 13728301 - 25 = 13728269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13728331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864150 + 6864151.

It is an arithmetic number, because the mean of its divisors is an integer number (6864151).

Almost surely, 213728301 is an apocalyptic number.

It is an amenable number.

13728301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728301 is an equidigital number, since it uses as much as digits as its factorization.

13728301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13728301 is about 3705.1721957286. The cubic root of 13728301 is about 239.4449034483. Note that the first 3 decimals are identical.

The spelling of 13728301 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred one".