| Base | Representation |
|---|---|
| bin | 10000100000001… |
| … | …01111000100000 |
| 3 | 100122111021200000 |
| 4 | 20100011320200 |
| 5 | 240414424003 |
| 6 | 21423100000 |
| 7 | 3300454605 |
| oct | 1020057040 |
| 9 | 318437600 |
| 10 | 138436128 |
| 11 | 71164126 |
| 12 | 3a441600 |
| 13 | 228b058c |
| 14 | 145586ac |
| 15 | c2481a3 |
| hex | 8405e20 |
138436128 has 144 divisors (see below), whose sum is σ = 430204320. Its totient is φ = 43670016.
The previous prime is 138436127. The next prime is 138436139. The reversal of 138436128 is 821634831.
138436128 is a `hidden beast` number, since 1 + 38 + 4 + 3 + 612 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 138436092 and 138436101.
It is not an unprimeable number, because it can be changed into a prime (138436121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147276 + ... + 148212.
It is an arithmetic number, because the mean of its divisors is an integer number (2987530).
Almost surely, 2138436128 is an apocalyptic number.
138436128 is a gapful number since it is divisible by the number (18) 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 138436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215102160).
138436128 is an abundant number, since it is smaller than the sum of its proper divisors (291768192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138436128 is an equidigital number, since it uses as much as digits as its factorization.
138436128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 981 (or 961 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 138436128 is about 11765.8883217545. Note that the first 3 decimals coincide. The cubic root of 138436128 is about 517.3087383945.
The spelling of 138436128 in words is "one hundred thirty-eight million, four hundred thirty-six thousand, one hundred twenty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •