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683680 = 2554273
BaseRepresentation
bin10100110111010100000
31021201211111
42212322200
5133334210
622353104
75545144
oct2467240
91251744
10683680
11427728
1228b794
131ac25a
1413b224
15d788a
hexa6ea0

683680 has 24 divisors (see below), whose sum is σ = 1615572. Its totient is φ = 273408.

The previous prime is 683653. The next prime is 683681. The reversal of 683680 is 86386.

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 24336 = 812^2 + 156^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (683681) by changing a digit.

683680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1977 + ... + 2296.

2683680 is an apocalyptic number.

It is an amenable number.

683680 is an abundant number, since it is smaller than the sum of its proper divisors (931892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

683680 is a wasteful number, since it uses less digits than its factorization.

683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 683680 is about 826.8494421598. The cubic root of 683680 is about 88.0949388606.

The spelling of 683680 in words is "six hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4273 8546 17092 21365 34184 42730 68368 85460 136736 170920 341840 683680