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138485610 = 23258631783
BaseRepresentation
bin10000100000100…
…01111101101010
3100122120210112200
420100101331222
5240423014420
621424121030
73301052064
oct1020217552
9318523480
10138485610
117119831a
123a466176
13228c9c63
141456c734
15c257b90
hex8411f6a

138485610 has 48 divisors (see below), whose sum is σ = 360681984. Its totient is φ = 36866016.

The previous prime is 138485609. The next prime is 138485651. The reversal of 138485610 is 16584831.

138485610 is a `hidden beast` number, since 1 + 38 + 4 + 8 + 5 + 610 = 666.

138485610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1384856103 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76779 + ... + 78561.

It is an arithmetic number, because the mean of its divisors is an integer number (7514208).

Almost surely, 2138485610 is an apocalyptic number.

138485610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138485610 is an abundant number, since it is smaller than the sum of its proper divisors (222196374).

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

138485610 is a wasteful number, since it uses less digits than its factorization.

138485610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138485610 is about 11767.9909075424. The cubic root of 138485610 is about 517.3703659050.

The spelling of 138485610 in words is "one hundred thirty-eight million, four hundred eighty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 863 1726 1783 2589 3566 4315 5178 5349 7767 8630 8915 10698 12945 15534 16047 17830 25890 26745 32094 38835 53490 77670 80235 160470 1538729 3077458 4616187 7693645 9232374 13848561 15387290 23080935 27697122 46161870 69242805 138485610