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138286755 = 325171631109
BaseRepresentation
bin10000011111000…
…01011010100011
3100122012200202200
420033201122203
5240400134010
621415544243
73266263245
oct1017413243
9318180680
10138286755
1171071982
123a38b083
132285a5a9
141451a095
15c218cc0
hex83e16a3

138286755 has 48 divisors (see below), whose sum is σ = 255584160. Its totient is φ = 68926464.

The previous prime is 138286739. The next prime is 138286763. The reversal of 138286755 is 557682831.

It is not a de Polignac number, because 138286755 - 24 = 138286739 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138286755.

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 47 ways as a sum of consecutive naturals, for example, 124141 + ... + 125249.

It is an arithmetic number, because the mean of its divisors is an integer number (5324670).

Almost surely, 2138286755 is an apocalyptic number.

138286755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138286755 is a deficient number, since it is larger than the sum of its proper divisors (117297405).

138286755 is a wasteful number, since it uses less digits than its factorization.

138286755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1297 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 138286755 is about 11759.5388940213. The cubic root of 138286755 is about 517.1226122048.

The spelling of 138286755 in words is "one hundred thirty-eight million, two hundred eighty-six thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 163 255 489 765 815 1109 1467 2445 2771 3327 5545 7335 8313 9981 13855 16635 18853 24939 41565 49905 56559 94265 124695 169677 180767 282795 542301 848385 903835 1626903 2711505 3073039 8134515 9219117 15365195 27657351 46095585 138286755