Search a number
-
+
261830593 is a prime number
BaseRepresentation
bin11111001101100…
…11011111000001
3200020200101001101
433212303133001
51014012034333
641551534401
76326344333
oct1746633701
9606611041
10261830593
11124884222
127382a401
134232555b
1426ab9453
1517ebe67d
hexf9b37c1

261830593 has 2 divisors, whose sum is σ = 261830594. Its totient is φ = 261830592.

The previous prime is 261830581. The next prime is 261830603. The reversal of 261830593 is 395038162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155575729 + 106254864 = 12473^2 + 10308^2 .

It is a cyclic number.

It is not a de Polignac number, because 261830593 - 29 = 261830081 is a prime.

It is not a weakly prime, because it can be changed into another prime (261830563) 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, 130915296 + 130915297.

It is an arithmetic number, because the mean of its divisors is an integer number (130915297).

Almost surely, 2261830593 is an apocalyptic number.

It is an amenable number.

261830593 is a deficient number, since it is larger than the sum of its proper divisors (1).

261830593 is an equidigital number, since it uses as much as digits as its factorization.

261830593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 261830593 is about 16181.1802103555. The cubic root of 261830593 is about 639.7448470205.

The spelling of 261830593 in words is "two hundred sixty-one million, eight hundred thirty thousand, five hundred ninety-three".