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138271770 = 232571316883
BaseRepresentation
bin10000011110111…
…01110000011010
3100122011221012200
420033131300122
5240344144040
621415351030
73266201460
oct1017356032
9318157180
10138271770
117106169a
123a382476
1322853820
1414514830
15c214630
hex83ddc1a

138271770 has 96 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 29172096.

The previous prime is 138271741. The next prime is 138271781. The reversal of 138271770 is 77172831.

It is a happy number.

138271770 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2138271770 is an apocalyptic number.

138271770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138271770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).

138271770 is an abundant number, since it is smaller than the sum of its proper divisors (304224102).

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

138271770 is a wasteful number, since it uses less digits than its factorization.

138271770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 138271770 is about 11758.9017344308. The cubic root of 138271770 is about 517.1039327531.

The spelling of 138271770 in words is "one hundred thirty-eight million, two hundred seventy-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 16883 33766 50649 84415 101298 118181 151947 168830 219479 236362 253245 303894 354543 438958 506490 590905 658437 709086 759735 1063629 1097395 1181810 1316874 1519470 1536353 1772715 1975311 2127258 2194790 3072706 3292185 3545430 3950622 4609059 5318145 6584370 7681765 9218118 9876555 10636290 13827177 15363530 19753110 23045295 27654354 46090590 69135885 138271770