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138585376 = 2531139703
BaseRepresentation
bin10000100001010…
…10010100100000
3100122202212101201
420100222110200
5240434213001
621430210544
73301645666
oct1020522440
9318685351
10138585376
1171256276
123a4b3a54
13229334a7
1414596c36
15c277501
hex842a520

138585376 has 24 divisors (see below), whose sum is σ = 281643264. Its totient is φ = 67056960.

The previous prime is 138585361. The next prime is 138585379. The reversal of 138585376 is 673585831.

It is a super-2 number, since 2×1385853762 = 38411812882122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138585379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68860 + ... + 70843.

It is an arithmetic number, because the mean of its divisors is an integer number (11735136).

Almost surely, 2138585376 is an apocalyptic number.

138585376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138585376 is an abundant number, since it is smaller than the sum of its proper divisors (143057888).

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

138585376 is a wasteful number, since it uses less digits than its factorization.

138585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139744 (or 139736 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 138585376 is about 11772.2290157812. The cubic root of 138585376 is about 517.4945751569.

The spelling of 138585376 in words is "one hundred thirty-eight million, five hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 139703 279406 558812 1117624 2235248 4330793 4470496 8661586 17323172 34646344 69292688 138585376