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138284636 = 22741163739
BaseRepresentation
bin10000011111000…
…00111001011100
3100122012120212012
420033200321130
5240400102021
621415530352
73266254130
oct1017407134
9318176765
10138284636
1171070326
123a3899b8
1322859639
14145193c0
15c21835b
hex83e0e5c

138284636 has 48 divisors (see below), whose sum is σ = 285438720. Its totient is φ = 57386880.

The previous prime is 138284633. The next prime is 138284659. The reversal of 138284636 is 636482831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 138284593 and 138284602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138284633) 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 15 ways as a sum of consecutive naturals, for example, 186755 + ... + 187493.

It is an arithmetic number, because the mean of its divisors is an integer number (5946640).

Almost surely, 2138284636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138284636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142719360).

138284636 is an abundant number, since it is smaller than the sum of its proper divisors (147154084).

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

138284636 is a wasteful number, since it uses less digits than its factorization.

138284636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 952 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 138284636 is about 11759.4487966061. The cubic root of 138284636 is about 517.1199708614.

The spelling of 138284636 in words is "one hundred thirty-eight million, two hundred eighty-four thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 41 82 163 164 287 326 574 652 739 1141 1148 1478 2282 2956 4564 5173 6683 10346 13366 20692 26732 30299 46781 60598 93562 120457 121196 187124 212093 240914 424186 481828 843199 848372 1686398 3372796 4938737 9877474 19754948 34571159 69142318 138284636