| Base | Representation |
|---|---|
| bin | 1111011101110… |
| … | …00101100000000 |
| 3 | 100001010000221000 |
| 4 | 13232320230000 |
| 5 | 231202400303 |
| 6 | 20512332000 |
| 7 | 3133461306 |
| oct | 756705400 |
| 9 | 301100830 |
| 10 | 129731328 |
| 11 | 67259081 |
| 12 | 37544000 |
| 13 | 20b533cc |
| 14 | 13330276 |
| 15 | b5c8da3 |
| hex | 7bb8b00 |
129731328 has 108 divisors (see below), whose sum is σ = 386459080. Its totient is φ = 42928128.
The previous prime is 129731309. The next prime is 129731347. The reversal of 129731328 is 823137921.
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 is an interprime number because it is at equal distance from previous prime (129731309) and next prime (129731347).
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 129731292 and 129731301.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 946876 + ... + 947012.
Almost surely, 2129731328 is an apocalyptic number.
129731328 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 129731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193229540).
129731328 is an abundant number, since it is smaller than the sum of its proper divisors (256727752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
129731328 is an frugal number, since it uses more digits than its factorization.
129731328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 142 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 129731328 is about 11389.9661105729. The cubic root of 129731328 is about 506.2304771621.
The spelling of 129731328 in words is "one hundred twenty-nine million, seven hundred thirty-one thousand, three hundred twenty-eight".
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