Base | Representation |
---|---|
bin | 101001000111001… |
… | …010100010000000 |
3 | 1210001212121220002 |
4 | 221013022202000 |
5 | 2403033302000 |
6 | 152235335132 |
7 | 23043504311 |
oct | 5107124200 |
9 | 1701777802 |
10 | 689744000 |
11 | 324384970 |
12 | 172bb14a8 |
13 | acb8b15a |
14 | 67868608 |
15 | 408488d5 |
hex | 291ca880 |
689744000 has 128 divisors (see below), whose sum is σ = 1871251200. Its totient is φ = 250752000.
The previous prime is 689743981. The next prime is 689744021. The reversal of 689744000 is 447986.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174041 + ... + 177959.
It is an arithmetic number, because the mean of its divisors is an integer number (14619150).
Almost surely, 2689744000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 689744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).
689744000 is an abundant number, since it is smaller than the sum of its proper divisors (1181507200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
689744000 is a wasteful number, since it uses less digits than its factorization.
689744000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3959 (or 3937 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 38.
The square root of 689744000 is about 26262.9777443457. The cubic root of 689744000 is about 883.5462957119.
The spelling of 689744000 in words is "six hundred eighty-nine million, seven hundred forty-four thousand".
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