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138338005 = 5133797593
BaseRepresentation
bin10000011111011…
…01111011010101
3100122022022001211
420033231323111
5240403304010
621421021421
73266565541
oct1017557325
9318268054
10138338005
11710a7433
123a3b4871
1322877a10
1414530a21
15c22908a
hex83eded5

138338005 has 32 divisors (see below), whose sum is σ = 185812704. Its totient is φ = 98205696.

The previous prime is 138337987. The next prime is 138338029. The reversal of 138338005 is 500833831.

It can be written as a sum of positive squares in 16 ways, for example, as 20875761 + 117462244 = 4569^2 + 10838^2 .

It is not a de Polignac number, because 138338005 - 211 = 138335957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232989 + ... + 233581.

It is an arithmetic number, because the mean of its divisors is an integer number (5806647).

Almost surely, 2138338005 is an apocalyptic number.

It is an amenable number.

138338005 is a deficient number, since it is larger than the sum of its proper divisors (47474699).

138338005 is a wasteful number, since it uses less digits than its factorization.

138338005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 138338005 is about 11761.7177742029. The cubic root of 138338005 is about 517.1864873521.

The spelling of 138338005 in words is "one hundred thirty-eight million, three hundred thirty-eight thousand, five".

Divisors: 1 5 13 37 65 97 185 481 485 593 1261 2405 2965 3589 6305 7709 17945 21941 38545 46657 57521 109705 233285 285233 287605 747773 1426165 2128277 3738865 10641385 27667601 138338005