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138230742 = 231337211227
BaseRepresentation
bin10000011110100…
…11101111010110
3100122002211221010
420033103233112
5240341340432
621414433050
73265641036
oct1017235726
9318084833
10138230742
1171033891
123a362786
132283ac50
14145038c6
15c2073cc
hex83d3bd6

138230742 has 64 divisors (see below), whose sum is σ = 308577024. Its totient is φ = 41005440.

The previous prime is 138230707. The next prime is 138230783. The reversal of 138230742 is 247032831.

138230742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608833 + ... + 609059.

It is an arithmetic number, because the mean of its divisors is an integer number (4821516).

Almost surely, 2138230742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138230742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154288512).

138230742 is an abundant number, since it is smaller than the sum of its proper divisors (170346282).

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

138230742 is a wasteful number, since it uses less digits than its factorization.

138230742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 138230742 is about 11757.1570543223. The cubic root of 138230742 is about 517.0527826669.

The spelling of 138230742 in words is "one hundred thirty-eight million, two hundred thirty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 211 222 227 422 454 481 633 681 962 1266 1362 1443 2743 2886 2951 5486 5902 7807 8229 8399 8853 15614 16458 16798 17706 23421 25197 46842 47897 50394 95794 101491 109187 143691 202982 218374 287382 304473 327561 608946 622661 655122 1245322 1772189 1867983 3544378 3735966 5316567 10633134 23038457 46076914 69115371 138230742