Base | Representation |
---|---|
bin | 10101000001110010000 |
3 | 1022000012000 |
4 | 2220032100 |
5 | 134022130 |
6 | 22434000 |
7 | 5566602 |
oct | 2501620 |
9 | 1260160 |
10 | 689040 |
11 | 430760 |
12 | 292900 |
13 | 1b1821 |
14 | 13d172 |
15 | d9260 |
hex | a8390 |
689040 has 160 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 161280.
The previous prime is 689033. The next prime is 689041. The reversal of 689040 is 40986.
It is a super-2 number, since 2×6890402 = 949552243200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 688995 and 689013.
It is not an unprimeable number, because it can be changed into a prime (689041) by changing a digit.
689040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23746 + ... + 23774.
It is an arithmetic number, because the mean of its divisors is an integer number (16740).
2689040 is an apocalyptic number.
689040 is a gapful number since it is divisible by the number (60) 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 689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).
689040 is an abundant number, since it is smaller than the sum of its proper divisors (1989360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
689040 is a wasteful number, since it uses less digits than its factorization.
689040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 689040 is about 830.0843330650. The cubic root of 689040 is about 88.3245590747.
The spelling of 689040 in words is "six hundred eighty-nine thousand, forty".
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