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138208077 = 327344771
BaseRepresentation
bin10000011110011…
…10001101001101
3100122001200211200
420033032031031
5240340124302
621414140113
73265515000
oct1017161515
9318050750
10138208077
1171018857
123a351639
1322830837
14144d9537
15c20081c
hex83ce34d

138208077 has 24 divisors (see below), whose sum is σ = 232814400. Its totient is φ = 78974280.

The previous prime is 138208073. The next prime is 138208093. The reversal of 138208077 is 770802831.

138208077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138208077 - 22 = 138208073 is a prime.

It is a super-3 number, since 3×1382080773 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138208073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19299 + ... + 25472.

It is an arithmetic number, because the mean of its divisors is an integer number (9700600).

Almost surely, 2138208077 is an apocalyptic number.

It is an amenable number.

138208077 is a deficient number, since it is larger than the sum of its proper divisors (94606323).

138208077 is an equidigital number, since it uses as much as digits as its factorization.

138208077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44798 (or 44781 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 138208077 is about 11756.1931338338. The cubic root of 138208077 is about 517.0245216069.

The spelling of 138208077 in words is "one hundred thirty-eight million, two hundred eight thousand, seventy-seven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 44771 134313 313397 402939 940191 2193779 2820573 6581337 15356453 19744011 46069359 138208077