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10093829 is a prime number
BaseRepresentation
bin100110100000…
…010100000101
3200222211010112
4212200110011
510041000304
61000202405
7151540034
oct46402405
920884115
1010093829
115774709
123469405
1321254a5
1414aa71b
15d45b6e
hex9a0505

10093829 has 2 divisors, whose sum is σ = 10093830. Its totient is φ = 10093828.

The previous prime is 10093823. The next prime is 10093841. The reversal of 10093829 is 92839001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7828804 + 2265025 = 2798^2 + 1505^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093829 - 24 = 10093813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10093795 and 10093804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10093823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5046914 + 5046915.

It is an arithmetic number, because the mean of its divisors is an integer number (5046915).

Almost surely, 210093829 is an apocalyptic number.

It is an amenable number.

10093829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093829 is an equidigital number, since it uses as much as digits as its factorization.

10093829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 10093829 is about 3177.0786896141. The cubic root of 10093829 is about 216.1152006083.

The spelling of 10093829 in words is "ten million, ninety-three thousand, eight hundred twenty-nine".