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138082068 = 22323835613
BaseRepresentation
bin10000011101011…
…11011100010100
3100121211021222200
420032233130110
5240322111233
621411324500
73264451425
oct1016573424
9317737880
10138082068
1170a42113
123a2b0730
13227b8387
14144a564c
15c1c8313
hex83af714

138082068 has 18 divisors (see below), whose sum is σ = 349040874. Its totient is φ = 46027344.

The previous prime is 138082067. The next prime is 138082069. The reversal of 138082068 is 860280831.

138082068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138082067) and next prime (138082069).

It can be written as a sum of positive squares in only one way, i.e., 138015504 + 66564 = 11748^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3835613 = 138082068 / (1 + 3 + 8 + 0 + 8 + 2 + 0 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138082067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1917771 + ... + 1917842.

Almost surely, 2138082068 is an apocalyptic number.

138082068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138082068 is an abundant number, since it is smaller than the sum of its proper divisors (210958806).

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

138082068 is a wasteful number, since it uses less digits than its factorization.

138082068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835623 (or 3835618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 138082068 is about 11750.8326513486. The cubic root of 138082068 is about 516.8673442211.

It can be divided in two parts, 13808 and 2068, that added together give a square (15876 = 1262).

The spelling of 138082068 in words is "one hundred thirty-eight million, eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3835613 7671226 11506839 15342452 23013678 34520517 46027356 69041034 138082068