| Base | Representation |
|---|---|
| bin | 1111010011101… |
| … | …10101010000000 |
| 3 | 22221122000112200 |
| 4 | 13221312222000 |
| 5 | 230333143123 |
| 6 | 20424153200 |
| 7 | 3116325564 |
| oct | 751665200 |
| 9 | 287560480 |
| 10 | 128412288 |
| 11 | 66538064 |
| 12 | 37008800 |
| 13 | 207b0c04 |
| 14 | 130a96a4 |
| 15 | b418143 |
| hex | 7a76a80 |
128412288 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 39297024.
The previous prime is 128412281. The next prime is 128412293. The reversal of 128412288 is 882214821.
It is a tau number, because it is divible by the number of its divisors (192).
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 zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (128412281) 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 23 ways as a sum of consecutive naturals, for example, 1547095 + ... + 1547177.
It is an arithmetic number, because the mean of its divisors is an integer number (2088450).
Almost surely, 2128412288 is an apocalyptic number.
128412288 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 128412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).
128412288 is an abundant number, since it is smaller than the sum of its proper divisors (272570112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128412288 is a wasteful number, since it uses less digits than its factorization.
128412288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 184 counting only the distinct ones).
The product of its digits is 16384, while the sum is 36.
The square root of 128412288 is about 11331.9145778637. The cubic root of 128412288 is about 504.5089341342.
It can be divided in two parts, 12841 and 2288, that added together give a square (15129 = 1232).
The spelling of 128412288 in words is "one hundred twenty-eight million, four hundred twelve thousand, two hundred eighty-eight".
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