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138798036 = 223413311063
BaseRepresentation
bin10000100010111…
…10001111010100
3100200011200010000
420101132033110
5241013014121
621434531300
73303522666
oct1021361724
9320150100
10138798036
1171391023
123a596b30
13229a9220
1414610536
15c2ba526
hex845e3d4

138798036 has 120 divisors (see below), whose sum is σ = 403741184. Its totient is φ = 41290560.

The previous prime is 138798019. The next prime is 138798041. The reversal of 138798036 is 630897831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138797982 and 138798000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130041 + ... + 131103.

Almost surely, 2138798036 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 138798036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201870592).

138798036 is an abundant number, since it is smaller than the sum of its proper divisors (264943148).

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

138798036 is a wasteful number, since it uses less digits than its factorization.

138798036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 138798036 is about 11781.2578275836. The cubic root of 138798036 is about 517.7591392749.

The spelling of 138798036 in words is "one hundred thirty-eight million, seven hundred ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1063 1116 1209 1404 1612 1674 2106 2126 2418 2511 3189 3348 3627 4212 4252 4836 5022 6378 7254 9567 10044 10881 12756 13819 14508 19134 21762 27638 28701 32643 32953 38268 41457 43524 55276 57402 65286 65906 82914 86103 98859 114804 124371 130572 131812 165828 172206 197718 248742 296577 344412 373113 395436 428389 497484 593154 746226 856778 889731 1119339 1186308 1285167 1492452 1713556 1779462 2238678 2570334 2669193 3558924 3855501 4477356 5140668 5338386 7711002 10676772 11566503 15422004 23133006 34699509 46266012 69399018 138798036