| Base | Representation |
|---|---|
| bin | 10000011101111… |
| … | …00000010000000 |
| 3 | 100121220220201110 |
| 4 | 20032330002000 |
| 5 | 240330234012 |
| 6 | 21412403320 |
| 7 | 3265054650 |
| oct | 1016740200 |
| 9 | 317826643 |
| 10 | 138133632 |
| 11 | 70a7792a |
| 12 | 3a316540 |
| 13 | 228059a0 |
| 14 | 144ba360 |
| 15 | c1d873c |
| hex | 83bc080 |
138133632 has 256 divisors, whose sum is σ = 466099200. Its totient is φ = 35278848.
The previous prime is 138133631. The next prime is 138133637. The reversal of 138133632 is 236331831.
138133632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1381336322 = 38161800579022848, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 138133632.
It is not an unprimeable number, because it can be changed into a prime (138133631) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2061663 + ... + 2061729.
It is an arithmetic number, because the mean of its divisors is an integer number (1820700).
Almost surely, 2138133632 is an apocalyptic number.
138133632 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 138133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).
138133632 is an abundant number, since it is smaller than the sum of its proper divisors (327965568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138133632 is a wasteful number, since it uses less digits than its factorization.
138133632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 151 counting only the distinct ones).
The product of its digits is 7776, while the sum is 30.
The square root of 138133632 is about 11753.0265038415. The cubic root of 138133632 is about 516.9316741549.
The spelling of 138133632 in words is "one hundred thirty-eight million, one hundred thirty-three thousand, six hundred thirty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •