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138347528 = 231121311091
BaseRepresentation
bin10000011111100…
…00010000001000
3100122022210010112
420033300100020
5240404110103
621421133452
73266635364
oct1017602010
9318283115
10138347528
1171103600
123a3ba288
132287c157
14145342a4
15c22bcd8
hex83f0408

138347528 has 48 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 62348000.

The previous prime is 138347527. The next prime is 138347533. The reversal of 138347528 is 825743831.

138347528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138347527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126263 + ... + 127353.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2138347528 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 138347528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

138347528 is an abundant number, since it is smaller than the sum of its proper divisors (149219752).

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

138347528 is a wasteful number, since it uses less digits than its factorization.

138347528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1235 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 138347528 is about 11762.1225975587. The cubic root of 138347528 is about 517.1983545511.

The spelling of 138347528 in words is "one hundred thirty-eight million, three hundred forty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 131 242 262 484 524 968 1048 1091 1441 2182 2882 4364 5764 8728 11528 12001 15851 24002 31702 48004 63404 96008 126808 132011 142921 264022 285842 528044 571684 1056088 1143368 1572131 3144262 6288524 12577048 17293441 34586882 69173764 138347528