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138384363 = 31343179461
BaseRepresentation
bin10000011111110…
…01001111101011
3100122101122122210
420033321033223
5240411244423
621422020203
73300150645
oct1017711753
9318348583
10138384363
1171129247
123a417663
1322892b50
1414543895
15c237b93
hex83f93eb

138384363 has 32 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 82535040.

The previous prime is 138384361. The next prime is 138384377. The reversal of 138384363 is 363483831.

It is not a de Polignac number, because 138384363 - 21 = 138384361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (138384361) by changing a digit.

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, 299953 + ... + 300413.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2138384363 is an apocalyptic number.

138384363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

138384363 is a deficient number, since it is larger than the sum of its proper divisors (66521877).

138384363 is a wasteful number, since it uses less digits than its factorization.

138384363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699.

The product of its digits is 124416, while the sum is 39.

The square root of 138384363 is about 11763.6883246710. The cubic root of 138384363 is about 517.2442517954.

The spelling of 138384363 in words is "one hundred thirty-eight million, three hundred eighty-four thousand, three hundred sixty-three".

Divisors: 1 3 13 39 43 129 179 461 537 559 1383 1677 2327 5993 6981 7697 17979 19823 23091 59469 82519 100061 247557 257699 300183 773097 1072747 3218241 3548317 10644951 46128121 138384363