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138065823 = 3371797443
BaseRepresentation
bin10000011101010…
…11011110011111
3100121210110201000
420032223132133
5240321101243
621411121343
73264353160
oct1016533637
9317713630
10138065823
1170a30995
123a2a3253
13227b0b6c
141449d767
15c1c35d3
hex83ab79f

138065823 has 64 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 73322496.

The previous prime is 138065821. The next prime is 138065827. The reversal of 138065823 is 328560831.

It is not a de Polignac number, because 138065823 - 21 = 138065821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138065821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311440 + ... + 311882.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2138065823 is an apocalyptic number.

138065823 is a deficient number, since it is larger than the sum of its proper divisors (112563297).

138065823 is a wasteful number, since it uses less digits than its factorization.

138065823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138065823 is about 11750.1414034045. The cubic root of 138065823 is about 516.8470740551.

The spelling of 138065823 in words is "one hundred thirty-eight million, sixty-five thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 17 21 27 51 63 97 119 153 189 291 357 443 459 679 873 1071 1329 1649 2037 2619 3101 3213 3987 4947 6111 7531 9303 11543 11961 14841 18333 22593 27909 34629 42971 44523 52717 67779 83727 103887 128913 158151 203337 300797 311661 386739 474453 730507 902391 1160217 1423359 2191521 2707173 5113549 6574563 8121519 15340647 19723689 46021941 138065823