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10239829 is a prime number
BaseRepresentation
bin100111000011…
…111101010101
3201021020101221
4213003331111
510110133304
61003250341
7153015505
oct47037525
921236357
1010239829
115864376
1235199b1
132176a92
141507a05
15d74054
hex9c3f55

10239829 has 2 divisors, whose sum is σ = 10239830. Its totient is φ = 10239828.

The previous prime is 10239781. The next prime is 10239839. The reversal of 10239829 is 92893201.

10239829 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., 7711729 + 2528100 = 2777^2 + 1590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10239829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10239794 and 10239803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10239839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5119914 + 5119915.

It is an arithmetic number, because the mean of its divisors is an integer number (5119915).

Almost surely, 210239829 is an apocalyptic number.

It is an amenable number.

10239829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10239829 is an equidigital number, since it uses as much as digits as its factorization.

10239829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 10239829 is about 3199.9732811385. The cubic root of 10239829 is about 217.1522005568.

The spelling of 10239829 in words is "ten million, two hundred thirty-nine thousand, eight hundred twenty-nine".