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138282795 = 355771229
BaseRepresentation
bin10000011111000…
…00011100101011
3100122012111100000
420033200130223
5240400022140
621415514043
73266245560
oct1017403453
9318174300
10138282795
1171069a02
123a388923
1322858851
1414518867
15c217a30
hex83e072b

138282795 has 96 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 62052480.

The previous prime is 138282787. The next prime is 138282827. The reversal of 138282795 is 597282831.

It is a happy number.

It is not a de Polignac number, because 138282795 - 23 = 138282787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (241920) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 138282795.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603741 + ... + 603969.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2138282795 is an apocalyptic number.

138282795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138282795 is an abundant number, since it is smaller than the sum of its proper divisors (151053525).

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

138282795 is an equidigital number, since it uses as much as digits as its factorization.

138282795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 138282795 is about 11759.3705188671. The cubic root of 138282795 is about 517.1176760244.

The spelling of 138282795 in words is "one hundred thirty-eight million, two hundred eighty-two thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 81 105 135 189 213 229 243 315 355 405 497 567 639 687 945 1065 1145 1215 1491 1603 1701 1917 2061 2485 2835 3195 3435 4473 4809 5751 6183 7455 8015 8505 9585 10305 13419 14427 16259 17253 18549 22365 24045 28755 30915 40257 43281 48777 55647 67095 72135 81295 86265 92745 113813 120771 129843 146331 201285 216405 243885 278235 341439 389529 438993 569065 603855 649215 731655 1024317 1316979 1707195 1947645 2194965 3072951 3950937 5121585 6584895 9218853 15364755 19754685 27656559 46094265 138282795