Search a number
-
+
138710729 is a prime number
BaseRepresentation
bin10000100010010…
…00111011001001
3100200000020100102
420101020323021
5241002220404
621433015145
73303010313
oct1021107311
9320006312
10138710729
1171331473
123a5544b5
1322978571
14145ca7b3
15c29e71e
hex8448ec9

138710729 has 2 divisors, whose sum is σ = 138710730. Its totient is φ = 138710728.

The previous prime is 138710717. The next prime is 138710753. The reversal of 138710729 is 927017831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81360400 + 57350329 = 9020^2 + 7573^2 .

It is a cyclic number.

It is not a de Polignac number, because 138710729 - 24 = 138710713 is a prime.

It is a super-2 number, since 2×1387107292 = 38481332679422882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 138710692 and 138710701.

It is not a weakly prime, because it can be changed into another prime (138710029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69355364 + 69355365.

It is an arithmetic number, because the mean of its divisors is an integer number (69355365).

Almost surely, 2138710729 is an apocalyptic number.

It is an amenable number.

138710729 is a deficient number, since it is larger than the sum of its proper divisors (1).

138710729 is an equidigital number, since it uses as much as digits as its factorization.

138710729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 138710729 is about 11777.5519103080. The cubic root of 138710729 is about 517.6505558975.

The spelling of 138710729 in words is "one hundred thirty-eight million, seven hundred ten thousand, seven hundred twenty-nine".