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138108036 = 2231119531039
BaseRepresentation
bin10000011101101…
…01110010000100
3100121212121121110
420032311302010
5240323424121
621412045020
73264620223
oct1016656204
9317777543
10138108036
1170a5a680
123a303770
13227c7141
14144b0cba
15c1d0d76
hex83b5c84

138108036 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 38862720.

The previous prime is 138108023. The next prime is 138108053. The reversal of 138108036 is 630801831.

It is a junction number, because it is equal to n+sod(n) for n = 138107994 and 138108012.

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, 132405 + ... + 133443.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2138108036 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 138108036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

138108036 is an abundant number, since it is smaller than the sum of its proper divisors (239287164).

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

138108036 is a wasteful number, since it uses less digits than its factorization.

138108036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138108036 is about 11751.9375423800. The cubic root of 138108036 is about 516.8997432383.

Adding to 138108036 its reverse (630801831), we get a palindrome (768909867).

The spelling of 138108036 in words is "one hundred thirty-eight million, one hundred eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 53 57 66 76 106 114 132 159 209 212 228 318 418 583 627 636 836 1007 1039 1166 1254 1749 2014 2078 2332 2508 3021 3117 3498 4028 4156 6042 6234 6996 11077 11429 12084 12468 19741 22154 22858 33231 34287 39482 44308 45716 55067 59223 66462 68574 78964 110134 118446 132924 137148 165201 217151 220268 236892 330402 434302 605737 651453 660804 868604 1046273 1211474 1302906 1817211 2092546 2422948 2605812 3138819 3634422 4185092 6277638 7268844 11509003 12555276 23018006 34527009 46036012 69054018 138108036