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10236829 is a prime number
BaseRepresentation
bin100111000011…
…001110011101
3201021002021211
4213003032131
510110034304
61003224421
7153003661
oct47031635
921232254
1010236829
115862099
123518111
1321755c5
1415068a1
15d73204
hex9c339d

10236829 has 2 divisors, whose sum is σ = 10236830. Its totient is φ = 10236828.

The previous prime is 10236803. The next prime is 10236841. The reversal of 10236829 is 92863201.

10236829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5405625 + 4831204 = 2325^2 + 2198^2 .

It is a cyclic number.

It is not a de Polignac number, because 10236829 - 211 = 10234781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10236829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10233829) 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, 5118414 + 5118415.

It is an arithmetic number, because the mean of its divisors is an integer number (5118415).

Almost surely, 210236829 is an apocalyptic number.

It is an amenable number.

10236829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10236829 is an equidigital number, since it uses as much as digits as its factorization.

10236829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10236829 is about 3199.5044928864. The cubic root of 10236829 is about 217.1309918617.

The spelling of 10236829 in words is "ten million, two hundred thirty-six thousand, eight hundred twenty-nine".