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138588606 = 232133716007
BaseRepresentation
bin10000100001010…
…11000110111110
3100122210000211100
420100223012332
5240434313411
621430233530
73301661262
oct1020530676
9318700740
10138588606
1171258742
123a4b58a6
1322934ac0
14145980a2
15c278456
hex842b1be

138588606 has 48 divisors (see below), whose sum is σ = 332133984. Its totient is φ = 41487552.

The previous prime is 138588601. The next prime is 138588661. The reversal of 138588606 is 606885831.

138588606 is a `hidden beast` number, since 1 + 3 + 8 + 588 + 60 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138588601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 655 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (6919458).

Almost surely, 2138588606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138588606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166066992).

138588606 is an abundant number, since it is smaller than the sum of its proper divisors (193545378).

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

138588606 is a wasteful number, since it uses less digits than its factorization.

138588606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 138588606 is about 11772.3662022552. The cubic root of 138588606 is about 517.4985955293.

The spelling of 138588606 in words is "one hundred thirty-eight million, five hundred eighty-eight thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 16007 32014 48021 96042 144063 208091 288126 416182 592259 624273 1184518 1248546 1776777 1872819 3553554 3745638 5330331 7699367 10660662 15398734 23098101 46196202 69294303 138588606