Search a number
-
+
138374082 = 23471111093
BaseRepresentation
bin10000011111101…
…10101111000010
3100122101010120000
420033312233002
5240410432312
621421500430
73300105660
oct1017665702
9318333500
10138374082
1171121550
123a411716
132288b272
141453dc30
15c234adc
hex83f6bc2

138374082 has 80 divisors (see below), whose sum is σ = 386603712. Its totient is φ = 35938080.

The previous prime is 138374081. The next prime is 138374087. The reversal of 138374082 is 280473831.

It is not an unprimeable number, because it can be changed into a prime (138374081) 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, 6928 + ... + 18020.

Almost surely, 2138374082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138374082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193301856).

138374082 is an abundant number, since it is smaller than the sum of its proper divisors (248229630).

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

138374082 is a wasteful number, since it uses less digits than its factorization.

138374082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138374082 is about 11763.2513362590. The cubic root of 138374082 is about 517.2314422560.

The spelling of 138374082 in words is "one hundred thirty-eight million, three hundred seventy-four thousand, eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 11093 12474 22186 33279 66558 77651 99837 122023 155302 199674 232953 244046 299511 366069 465906 599022 698859 732138 854161 898533 1098207 1397718 1708322 1797066 2096577 2196414 2562483 3294621 4193154 5124966 6289731 6589242 7687449 9883863 12579462 15374898 19767726 23062347 46124694 69187041 138374082