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138924 = 223217227
BaseRepresentation
bin100001111010101100
321001120100
4201322230
513421144
62551100
71116012
oct417254
9231510
10138924
1195415
1268490
134b306
14388b2
152b269
hex21eac

138924 has 36 divisors (see below), whose sum is σ = 373464. Its totient is φ = 43392.

The previous prime is 138923. The next prime is 138937. The reversal of 138924 is 429831.

138924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (138923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2138924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

138924 is an abundant number, since it is smaller than the sum of its proper divisors (234540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138924 is a wasteful number, since it uses less digits than its factorization.

138924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138924 is about 372.7250997719. The cubic root of 138924 is about 51.7915720003.

The spelling of 138924 in words is "one hundred thirty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 227 306 454 612 681 908 1362 2043 2724 3859 4086 7718 8172 11577 15436 23154 34731 46308 69462 138924