| Base | Representation |
|---|---|
| bin | 1111011011000… |
| … | …00001110000000 |
| 3 | 100000102121211222 |
| 4 | 13231200032000 |
| 5 | 231104301320 |
| 6 | 20500454212 |
| 7 | 3130421660 |
| oct | 755401600 |
| 9 | 300377758 |
| 10 | 129368960 |
| 11 | 670308a6 |
| 12 | 373aa368 |
| 13 | 20a574a6 |
| 14 | 132781a0 |
| 15 | b556825 |
| hex | 7b60380 |
129368960 has 128 divisors (see below), whose sum is σ = 359562240. Its totient is φ = 43591680.
The previous prime is 129368959. The next prime is 129368969. The reversal of 129368960 is 69863921.
129368960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1293689602 = 33472655622963200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (129368969) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299945 + ... + 300375.
It is an arithmetic number, because the mean of its divisors is an integer number (2809080).
Almost surely, 2129368960 is an apocalyptic number.
129368960 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 129368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781120).
129368960 is an abundant number, since it is smaller than the sum of its proper divisors (230193280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129368960 is an equidigital number, since it uses as much as digits as its factorization.
129368960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 524 (or 512 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 44.
The square root of 129368960 is about 11374.0476524411. The cubic root of 129368960 is about 505.7587001145.
The spelling of 129368960 in words is "one hundred twenty-nine million, three hundred sixty-eight thousand, nine hundred sixty".
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