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138582738 = 2347122207
BaseRepresentation
bin10000100001010…
…01101011010010
3100122202201210000
420100221223102
5240434121423
621430150430
73301635210
oct1020515322
9318681700
10138582738
1171254298
123a4b2416
1322932228
1414595cb0
15c276843
hex8429ad2

138582738 has 40 divisors (see below), whose sum is σ = 354892032. Its totient is φ = 39594744.

The previous prime is 138582721. The next prime is 138582739. The reversal of 138582738 is 837285831.

138582738 is a `hidden beast` number, since 1 + 38 + 582 + 7 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138582693 and 138582702.

It is not an unprimeable number, because it can be changed into a prime (138582739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59970 + ... + 62237.

Almost surely, 2138582738 is an apocalyptic number.

138582738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138582738 is an abundant number, since it is smaller than the sum of its proper divisors (216309294).

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

138582738 is a wasteful number, since it uses less digits than its factorization.

138582738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122228 (or 122219 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 138582738 is about 11772.1169718959. The cubic root of 138582738 is about 517.4912915989.

The spelling of 138582738 in words is "one hundred thirty-eight million, five hundred eighty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 122207 244414 366621 733242 855449 1099863 1710898 2199726 2566347 3299589 5132694 6599178 7699041 9898767 15398082 19797534 23097123 46194246 69291369 138582738