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138439206 = 23419411097
BaseRepresentation
bin10000100000001…
…10101000100110
3100122111102220000
420100012220212
5240420023311
621423122130
73300466563
oct1020065046
9318442800
10138439206
1171166474
123a443346
13228b1ab9
141455986a
15c249056
hex8406a26

138439206 has 80 divisors (see below), whose sum is σ = 334802160. Its totient is φ = 42612480.

The previous prime is 138439199. The next prime is 138439207. The reversal of 138439206 is 602934831.

138439206 is a `hidden beast` number, since 13 + 8 + 439 + 206 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138439207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125650 + ... + 126746.

It is an arithmetic number, because the mean of its divisors is an integer number (4185027).

Almost surely, 2138439206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138439206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167401080).

138439206 is an abundant number, since it is smaller than the sum of its proper divisors (196362954).

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

138439206 is a wasteful number, since it uses less digits than its factorization.

138439206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 138439206 is about 11766.0191228809. The cubic root of 138439206 is about 517.3125723275.

The spelling of 138439206 in words is "one hundred thirty-eight million, four hundred thirty-nine thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1097 1107 1539 1558 2194 2214 2337 3078 3291 3321 4674 6582 6642 7011 9873 14022 19746 20843 21033 29619 41686 42066 44977 59238 62529 63099 88857 89954 125058 126198 134931 177714 187587 269862 375174 404793 562761 809586 854563 1125522 1214379 1688283 1709126 2428758 2563689 3376566 3643137 5127378 7286274 7691067 15382134 23073201 46146402 69219603 138439206