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138524568 = 233721321741
BaseRepresentation
bin10000100000110…
…11011110011000
3100122122202222120
420100123132120
5240430241233
621425021240
73301303500
oct1020333630
9318582876
10138524568
1171214616
123a484820
1322911900
141457ca00
15c2644b3
hex841b798

138524568 has 288 divisors, whose sum is σ = 473150160. Its totient is φ = 33546240.

The previous prime is 138524537. The next prime is 138524569. The reversal of 138524568 is 865425831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138524569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3378628 + ... + 3378668.

Almost surely, 2138524568 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 138524568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236575080).

138524568 is an abundant number, since it is smaller than the sum of its proper divisors (334625592).

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

138524568 is a wasteful number, since it uses less digits than its factorization.

138524568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 138524568 is about 11769.6460439556. The cubic root of 138524568 is about 517.4188759390.

The spelling of 138524568 in words is "one hundred thirty-eight million, five hundred twenty-four thousand, five hundred sixty-eight".