Search a number
-
+
133790593 is a prime number
BaseRepresentation
bin1111111100101…
…11101110000001
3100022202021012011
413332113232001
5233222244333
621135332521
73213126016
oct776275601
9308667164
10133790593
1169580942
1238981141
1321944c41
1413aa970d
15bb2b9cd
hex7f97b81

133790593 has 2 divisors, whose sum is σ = 133790594. Its totient is φ = 133790592.

The previous prime is 133790581. The next prime is 133790599. The reversal of 133790593 is 395097331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83777409 + 50013184 = 9153^2 + 7072^2 .

It is an emirp because it is prime and its reverse (395097331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133790593 - 29 = 133790081 is a prime.

It is equal to p7580749 and since 133790593 and 7580749 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (133790599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66895296 + 66895297.

It is an arithmetic number, because the mean of its divisors is an integer number (66895297).

Almost surely, 2133790593 is an apocalyptic number.

It is an amenable number.

133790593 is a deficient number, since it is larger than the sum of its proper divisors (1).

133790593 is an equidigital number, since it uses as much as digits as its factorization.

133790593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76545, while the sum is 40.

The square root of 133790593 is about 11566.7883615116. The cubic root of 133790593 is about 511.4562925871.

The spelling of 133790593 in words is "one hundred thirty-three million, seven hundred ninety thousand, five hundred ninety-three".