| Base | Representation |
|---|---|
| bin | 101011011100111… |
| … | …010111100000000 |
| 3 | 1212210202010101000 |
| 4 | 223130322330000 |
| 5 | 2443111023403 |
| 6 | 200201012000 |
| 7 | 24031261320 |
| oct | 5334727400 |
| 9 | 1783663330 |
| 10 | 729001728 |
| 11 | 344558874 |
| 12 | 184184000 |
| 13 | b8054b90 |
| 14 | 6cb67280 |
| 15 | 440007a3 |
| hex | 2b73af00 |
729001728 has 576 divisors, whose sum is σ = 2838707200. Its totient is φ = 179159040.
The previous prime is 729001649. The next prime is 729001729. The reversal of 729001728 is 827100927.
729001728 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 (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 729001728 = 123 + 9003 = 4983 + 8463.
It is a junction number, because it is equal to n+sod(n) for n = 729001692 and 729001701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (729001729) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950818 + ... + 11950878.
Almost surely, 2729001728 is an apocalyptic number.
729001728 is a gapful number since it is divisible by the number (78) 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 729001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419353600).
729001728 is an abundant number, since it is smaller than the sum of its proper divisors (2109705472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
729001728 is a wasteful number, since it uses less digits than its factorization.
729001728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125 (or 105 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 36.
The square root of 729001728 is about 27000.0319999810. The cubic root of 729001728 is about 900.0007111105. Note that the first 3 decimals are identical.
The spelling of 729001728 in words is "seven hundred twenty-nine million, one thousand, seven hundred twenty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.076 sec. • engine limits •