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138008393 is a prime number
BaseRepresentation
bin10000011100111…
…01011101001001
3100121200112220222
420032131131021
5240312232033
621405555425
73264023555
oct1016353511
9317615828
10138008393
11709a1826
123a275b75
1322790993
1414486865
15c1b1598
hex839d749

138008393 has 2 divisors, whose sum is σ = 138008394. Its totient is φ = 138008392.

The previous prime is 138008389. The next prime is 138008401. The reversal of 138008393 is 393800831.

138008393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137992009 + 16384 = 11747^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 138008393 - 22 = 138008389 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (138008323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69004196 + 69004197.

It is an arithmetic number, because the mean of its divisors is an integer number (69004197).

Almost surely, 2138008393 is an apocalyptic number.

It is an amenable number.

138008393 is a deficient number, since it is larger than the sum of its proper divisors (1).

138008393 is an equidigital number, since it uses as much as digits as its factorization.

138008393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 138008393 is about 11747.6973488425. The cubic root of 138008393 is about 516.7754013719.

The spelling of 138008393 in words is "one hundred thirty-eight million, eight thousand, three hundred ninety-three".