Base | Representation |
---|---|
bin | 101000110100101… |
… | …000110111100000 |
3 | 1202201201220001110 |
4 | 220310220313200 |
5 | 2400312400040 |
6 | 151543303320 |
7 | 22654306422 |
oct | 5064506740 |
9 | 1681656043 |
10 | 684887520 |
11 | 321668149 |
12 | 17144ab40 |
13 | abb7a7b5 |
14 | 66d62812 |
15 | 401d9980 |
hex | 28d28de0 |
684887520 has 96 divisors (see below), whose sum is σ = 2168867232. Its totient is φ = 181665792.
The previous prime is 684887477. The next prime is 684887527. The reversal of 684887520 is 25788486.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 684887520.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (684887527) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 88944 + ... + 96336.
It is an arithmetic number, because the mean of its divisors is an integer number (22592367).
Almost surely, 2684887520 is an apocalyptic number.
684887520 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 684887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084433616).
684887520 is an abundant number, since it is smaller than the sum of its proper divisors (1483979712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
684887520 is a wasteful number, since it uses less digits than its factorization.
684887520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7604 (or 7596 counting only the distinct ones).
The product of its (nonzero) digits is 860160, while the sum is 48.
The square root of 684887520 is about 26170.3557484418. The cubic root of 684887520 is about 881.4677297132.
The spelling of 684887520 in words is "six hundred eighty-four million, eight hundred eighty-seven thousand, five hundred twenty".
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