| Base | Representation |
|---|---|
| bin | 1111001010101… |
| … | …01100110100000 |
| 3 | 22212101212110000 |
| 4 | 13211111212200 |
| 5 | 230032301240 |
| 6 | 20342540000 |
| 7 | 3103265022 |
| oct | 745254640 |
| 9 | 285355400 |
| 10 | 127228320 |
| 11 | 658a957a |
| 12 | 36737600 |
| 13 | 2048803b |
| 14 | 12c7c012 |
| 15 | b282430 |
| hex | 79559a0 |
127228320 has 120 divisors (see below), whose sum is σ = 449055684. Its totient is φ = 33924096.
The previous prime is 127228319. The next prime is 127228327. The reversal of 127228320 is 23822721.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 9809424 = 10836^2 + 3132^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (127228327) 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 19 ways as a sum of consecutive naturals, for example, 8052 + ... + 17868.
Almost surely, 2127228320 is an apocalyptic number.
127228320 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 127228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224527842).
127228320 is an abundant number, since it is smaller than the sum of its proper divisors (321827364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127228320 is an equidigital number, since it uses as much as digits as its factorization.
127228320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9844 (or 9827 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 127228320 is about 11279.5531826398. The cubic root of 127228320 is about 502.9536113378.
It can be divided in two parts, 1272 and 28320, that added together give a palindrome (29592).
The spelling of 127228320 in words is "one hundred twenty-seven million, two hundred twenty-eight thousand, three hundred twenty".
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