Search a number
-
+
10728401 is a prime number
BaseRepresentation
bin101000111011…
…001111010001
3202012001121012
4220323033101
510221302101
61021540305
7160122065
oct50731721
922161535
1010728401
116068452
123714695
1322b8288
1415d3aa5
15e1dbbb
hexa3b3d1

10728401 has 2 divisors, whose sum is σ = 10728402. Its totient is φ = 10728400.

The previous prime is 10728397. The next prime is 10728427. The reversal of 10728401 is 10482701.

10728401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7756225 + 2972176 = 2785^2 + 1724^2 .

It is an emirp because it is prime and its reverse (10482701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10728401 - 22 = 10728397 is a prime.

It is not a weakly prime, because it can be changed into another prime (10728461) 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, 5364200 + 5364201.

It is an arithmetic number, because the mean of its divisors is an integer number (5364201).

Almost surely, 210728401 is an apocalyptic number.

It is an amenable number.

10728401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728401 is an equidigital number, since it uses as much as digits as its factorization.

10728401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10728401 is about 3275.4237893744. The cubic root of 10728401 is about 220.5523380199.

The spelling of 10728401 in words is "ten million, seven hundred twenty-eight thousand, four hundred one".