Search a number
-
+
10598129 is a prime number
BaseRepresentation
bin101000011011…
…011011110001
3201221102220022
4220123123301
510203120004
61015053225
7156040223
oct50333361
921842808
1010598129
115a89593
123671215
132270ba9
14159c413
15de52be
hexa1b6f1

10598129 has 2 divisors, whose sum is σ = 10598130. Its totient is φ = 10598128.

The previous prime is 10598113. The next prime is 10598141. The reversal of 10598129 is 92189501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5513104 + 5085025 = 2348^2 + 2255^2 .

It is a cyclic number.

It is not a de Polignac number, because 10598129 - 24 = 10598113 is a prime.

It is a super-2 number, since 2×105981292 = 224640676601282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10598149) 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, 5299064 + 5299065.

It is an arithmetic number, because the mean of its divisors is an integer number (5299065).

Almost surely, 210598129 is an apocalyptic number.

It is an amenable number.

10598129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10598129 is an equidigital number, since it uses as much as digits as its factorization.

10598129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 10598129 is about 3255.4767699985. The cubic root of 10598129 is about 219.6559981965.

The spelling of 10598129 in words is "ten million, five hundred ninety-eight thousand, one hundred twenty-nine".