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138293729 = 7271127313
BaseRepresentation
bin10000011111000…
…11000111100001
3100122020001022222
420033203013201
5240400344404
621420040425
73266322500
oct1017430741
9318201288
10138293729
1171077142
123a393115
1322860812
141451c837
15c21adbe
hex83e31e1

138293729 has 24 divisors (see below), whose sum is σ = 164947968. Its totient is φ = 115577280.

The previous prime is 138293711. The next prime is 138293731. The reversal of 138293729 is 927392831.

It is a happy number.

It is not a de Polignac number, because 138293729 - 28 = 138293473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138293729.

It is not an unprimeable number, because it can be changed into a prime (138290729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 441677 + ... + 441989.

It is an arithmetic number, because the mean of its divisors is an integer number (6872832).

Almost surely, 2138293729 is an apocalyptic number.

It is an amenable number.

138293729 is a deficient number, since it is larger than the sum of its proper divisors (26654239).

138293729 is a wasteful number, since it uses less digits than its factorization.

138293729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 138293729 is about 11759.8354155150. The cubic root of 138293729 is about 517.1313051377.

The spelling of 138293729 in words is "one hundred thirty-eight million, two hundred ninety-three thousand, seven hundred twenty-nine".

Divisors: 1 7 49 71 127 313 497 889 2191 3479 6223 9017 15337 22223 39751 63119 155561 278257 441833 1088927 1947799 2822321 19756247 138293729