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138289935 = 35743109281
BaseRepresentation
bin10000011111000…
…10001100001111
3100122012212010110
420033202030033
5240400234220
621420011103
73266305440
oct1017421417
9318185113
10138289935
1171074303
123a390a93
132285bb84
141451b2c7
15c219be0
hex83e230f

138289935 has 64 divisors (see below), whose sum is σ = 262056960. Its totient is φ = 60963840.

The previous prime is 138289913. The next prime is 138289939. The reversal of 138289935 is 539982831.

It is a happy number.

It is not a de Polignac number, because 138289935 - 27 = 138289807 is a prime.

It is a super-2 number, since 2×1382899352 = 38248212244608450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138289939) 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 63 ways as a sum of consecutive naturals, for example, 491995 + ... + 492275.

It is an arithmetic number, because the mean of its divisors is an integer number (4094640).

Almost surely, 2138289935 is an apocalyptic number.

138289935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138289935 is a deficient number, since it is larger than the sum of its proper divisors (123767025).

138289935 is a wasteful number, since it uses less digits than its factorization.

138289935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its digits is 466560, while the sum is 48.

The square root of 138289935 is about 11759.6741026272. The cubic root of 138289935 is about 517.1265760390.

The spelling of 138289935 in words is "one hundred thirty-eight million, two hundred eighty-nine thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 43 105 109 129 215 281 301 327 545 645 763 843 903 1405 1505 1635 1967 2289 3815 4215 4515 4687 5901 9835 11445 12083 14061 23435 29505 30629 32809 36249 60415 70305 84581 91887 98427 153145 164045 181245 214403 253743 422905 459435 492135 643209 1072015 1268715 1317047 3216045 3951141 6585235 9219329 19755705 27657987 46096645 138289935