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684887520 = 25351937393
BaseRepresentation
bin101000110100101…
…000110111100000
31202201201220001110
4220310220313200
52400312400040
6151543303320
722654306422
oct5064506740
91681656043
10684887520
11321668149
1217144ab40
13abb7a7b5
1466d62812
15401d9980
hex28d28de0

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".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7393 7720 9264 11580 14786 15440 18528 22179 23160 29572 30880 36965 44358 46320 59144 73930 88716 92640 110895 118288 147860 177432 221790 236576 295720 354864 443580 591440 709728 887160 1182880 1426849 1774320 2853698 3548640 4280547 5707396 7134245 8561094 11414792 14268490 17122188 21402735 22829584 28536980 34244376 42805470 45659168 57073960 68488752 85610940 114147920 136977504 171221880 228295840 342443760 684887520