Search a number
-
+
57680213 is a prime number
BaseRepresentation
bin1101110000001…
…0000101010101
311000112110101012
43130002011111
5104231231323
65420142005
71300162613
oct334020525
9130473335
1057680213
112a616aa8
1217397905
13bc47106
1479366b3
1550e5678
hex3702155

57680213 has 2 divisors, whose sum is σ = 57680214. Its totient is φ = 57680212.

The previous prime is 57680179. The next prime is 57680239. The reversal of 57680213 is 31208675.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53904964 + 3775249 = 7342^2 + 1943^2 .

It is a cyclic number.

It is not a de Polignac number, because 57680213 - 28 = 57679957 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57680213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57680263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28840106 + 28840107.

It is an arithmetic number, because the mean of its divisors is an integer number (28840107).

Almost surely, 257680213 is an apocalyptic number.

It is an amenable number.

57680213 is a deficient number, since it is larger than the sum of its proper divisors (1).

57680213 is an equidigital number, since it uses as much as digits as its factorization.

57680213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 57680213 is about 7594.7490412785. The cubic root of 57680213 is about 386.3749410604.

Adding to 57680213 its reverse (31208675), we get a palindrome (88888888).

The spelling of 57680213 in words is "fifty-seven million, six hundred eighty thousand, two hundred thirteen".