Search a number
-
+
10246429 is a prime number
BaseRepresentation
bin100111000101…
…100100011101
3201021120110101
4213011210131
510110341204
61003341101
7153043654
oct47054435
921246411
1010246429
115869326
123521791
132179a9b
14150a19b
15d75ea4
hex9c591d

10246429 has 2 divisors, whose sum is σ = 10246430. Its totient is φ = 10246428.

The previous prime is 10246417. The next prime is 10246441. The reversal of 10246429 is 92464201.

10246429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10246417) and next prime (10246441).

It can be written as a sum of positive squares in only one way, i.e., 6365529 + 3880900 = 2523^2 + 1970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10246429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10246397 and 10246406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10246409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5123214 + 5123215.

It is an arithmetic number, because the mean of its divisors is an integer number (5123215).

Almost surely, 210246429 is an apocalyptic number.

It is an amenable number.

10246429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10246429 is an equidigital number, since it uses as much as digits as its factorization.

10246429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10246429 is about 3201.0043736303. The cubic root of 10246429 is about 217.1988451089.

Subtracting from 10246429 its sum of digits (28), we obtain a square (10246401 = 32012).

The spelling of 10246429 in words is "ten million, two hundred forty-six thousand, four hundred twenty-nine".