| Base | Representation |
|---|---|
| bin | 101011011110101… |
| … | …011000100110000 |
| 3 | 1212211121110102120 |
| 4 | 223132223010300 |
| 5 | 2443220223130 |
| 6 | 200214514240 |
| 7 | 24035213400 |
| oct | 5336530460 |
| 9 | 1784543376 |
| 10 | 729461040 |
| 11 | 344841970 |
| 12 | 184365980 |
| 13 | b8185c69 |
| 14 | 6cc46800 |
| 15 | 44091910 |
| hex | 2b7ab130 |
729461040 has 240 divisors, whose sum is σ = 2870173440. Its totient is φ = 151549440.
The previous prime is 729461017. The next prime is 729461069. The reversal of 729461040 is 40164927.
It is a happy number.
729461040 is digitally balanced in base 2, 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 (240).
It is a super-2 number, since 2×7294610402 = 1064226817755763200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 729460992 and 729461010.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126541 + ... + 132179.
It is an arithmetic number, because the mean of its divisors is an integer number (11959056).
Almost surely, 2729461040 is an apocalyptic number.
729461040 is a gapful number since it is divisible by the number (70) 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 729461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435086720).
729461040 is an abundant number, since it is smaller than the sum of its proper divisors (2140712400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
729461040 is a wasteful number, since it uses less digits than its factorization.
729461040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5680 (or 5667 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 33.
The square root of 729461040 is about 27008.5364283221. The cubic root of 729461040 is about 900.1896884126.
The spelling of 729461040 in words is "seven hundred twenty-nine million, four hundred sixty-one thousand, forty".
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