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138039 = 3114789
BaseRepresentation
bin100001101100110111
321000100120
4201230313
513404124
62543023
71113306
oct415467
9230316
10138039
1194790
1267a73
134aaa5
143843d
152ad79
hex21b37

138039 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 80960.

The previous prime is 138007. The next prime is 138041. The reversal of 138039 is 930831.

It is not a de Polignac number, because 138039 - 25 = 138007 is a prime.

It is a super-3 number, since 3×1380393 = 7890902333259957, which contains 333 as substring.

138039 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2138039 is an apocalyptic number.

138039 is a deficient number, since it is larger than the sum of its proper divisors (69321).

138039 is a wasteful number, since it uses less digits than its factorization.

138039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 138039 is about 371.5360009474. The cubic root of 138039 is about 51.6813601405.

The spelling of 138039 in words is "one hundred thirty-eight thousand, thirty-nine".

Divisors: 1 3 11 33 47 89 141 267 517 979 1551 2937 4183 12549 46013 138039