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138717 = 3215413
BaseRepresentation
bin100001110111011101
321001021200
4201313131
513414332
62550113
71115265
oct416735
9231250
10138717
1195247
1268339
134b1a7
14387a5
152b17c
hex21ddd

138717 has 6 divisors (see below), whose sum is σ = 200382. Its totient is φ = 92472.

The previous prime is 138683. The next prime is 138727. The reversal of 138717 is 717831.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 4761 = 366^2 + 69^2 .

It is not a de Polignac number, because 138717 - 28 = 138461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138727) 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 in 5 ways as a sum of consecutive naturals, for example, 7698 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (33397).

2138717 is an apocalyptic number.

It is an amenable number.

138717 is a deficient number, since it is larger than the sum of its proper divisors (61665).

138717 is a wasteful number, since it uses less digits than its factorization.

138717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15416 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 138717 is about 372.4473117100. The cubic root of 138717 is about 51.7658356634.

The spelling of 138717 in words is "one hundred thirty-eight thousand, seven hundred seventeen".

Divisors: 1 3 9 15413 46239 138717