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138786540 = 22357132579
BaseRepresentation
bin10000100010110…
…11011011101100
3100200011002100020
420101123123230
5241012132130
621434402140
73303444324
oct1021333354
9320132306
10138786540
1171383422
123a590350
13229a3c19
141460a284
15c2b6e10
hex845b6ec

138786540 has 48 divisors (see below), whose sum is σ = 394087680. Its totient is φ = 36487360.

The previous prime is 138786491. The next prime is 138786553. The reversal of 138786540 is 45687831.

138786540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138786492 and 138786501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12030 + ... + 20549.

It is an arithmetic number, because the mean of its divisors is an integer number (8210160).

Almost surely, 2138786540 is an apocalyptic number.

138786540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138786540 is an abundant number, since it is smaller than the sum of its proper divisors (255301140).

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

138786540 is a wasteful number, since it uses less digits than its factorization.

138786540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32662 (or 32660 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 138786540 is about 11780.7699239057. The cubic root of 138786540 is about 517.7448443478.

The spelling of 138786540 in words is "one hundred thirty-eight million, seven hundred eighty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 32579 65158 97737 130316 162895 195474 325790 390948 488685 651580 977370 1954740 2313109 4626218 6939327 9252436 11565545 13878654 23131090 27757308 34696635 46262180 69393270 138786540