| Base | Representation |
|---|---|
| bin | 1111010000100… |
| … | …10000000000000 |
| 3 | 22220212001222202 |
| 4 | 13220102000000 |
| 5 | 230232000000 |
| 6 | 20411252332 |
| 7 | 3112660562 |
| oct | 750220000 |
| 9 | 286761882 |
| 10 | 128000000 |
| 11 | 66286327 |
| 12 | 36a4a0a8 |
| 13 | 2069835b |
| 14 | 12ddd332 |
| 15 | b385dd5 |
| hex | 7a12000 |
128000000 has 98 divisors (see below), whose sum is σ = 319976373. Its totient is φ = 51200000.
The previous prime is 127999981. The next prime is 128000003. The reversal of 128000000 is 821.
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.
It can be written as a sum of positive squares in 4 ways, for example, as 21827584 + 106172416 = 4672^2 + 10304^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=8000.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (128000003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 25599998 + ... + 25600002.
Almost surely, 2128000000 is an apocalyptic number.
128000000 is a gapful number since it is divisible by the number (10) 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 128000000
128000000 is an abundant number, since it is smaller than the sum of its proper divisors (191976373).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128000000 is an frugal number, since it uses more digits than its factorization.
128000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
The square root of 128000000 is about 11313.7084989848. The cubic root of 128000000 is about 503.9684199579.
128000000 divided by its product of nonzero digits (16) gives a cube (8000000 = 2003).
Adding to 128000000 its reverse (821), we get a palindrome (128000821).
The spelling of 128000000 in words is "one hundred twenty-eight million", and thus it is an aban number.
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