| Base | Representation |
|---|---|
| bin | 10000100001101… |
| … | …11010001001100 |
| 3 | 100122212120011000 |
| 4 | 20100313101030 |
| 5 | 240442412122 |
| 6 | 21431300300 |
| 7 | 3302256423 |
| oct | 1020672114 |
| 9 | 318776130 |
| 10 | 138638412 |
| 11 | 71292100 |
| 12 | 3a51a690 |
| 13 | 22951683 |
| 14 | 145ac2ba |
| 15 | c2880ac |
| hex | 843744c |
138638412 has 108 divisors (see below), whose sum is σ = 398952120. Its totient is φ = 41603760.
The previous prime is 138638399. The next prime is 138638413. The reversal of 138638412 is 214836831.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
138638412 is a `hidden beast` number, since 1 + 3 + 8 + 638 + 4 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (138638413) 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 35 ways as a sum of consecutive naturals, for example, 1345953 + ... + 1346055.
Almost surely, 2138638412 is an apocalyptic number.
138638412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 138638412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199476060).
138638412 is an abundant number, since it is smaller than the sum of its proper divisors (260313708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138638412 is a wasteful number, since it uses less digits than its factorization.
138638412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241 (or 119 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 138638412 is about 11774.4813898532. The cubic root of 138638412 is about 517.5605810196.
Multiplying 138638412 by its product of digits (27648), we get a square (3833074814976 = 19578242).
The spelling of 138638412 in words is "one hundred thirty-eight million, six hundred thirty-eight thousand, four hundred twelve".
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