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680832120 = 23355673601
BaseRepresentation
bin101000100101001…
…010110001111000
31202110002212002110
4220211022301320
52343243111440
6151320332320
722604656203
oct5045126170
91673085073
10680832120
1131a348281
121700140a0
13ab08a957
14665c893a
153eb88080
hex2894ac78

680832120 has 32 divisors (see below), whose sum is σ = 2042496720. Its totient is φ = 181555200.

The previous prime is 680832109. The next prime is 680832143. The reversal of 680832120 is 21238086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2836681 + ... + 2836920.

Almost surely, 2680832120 is an apocalyptic number.

680832120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680832120 is an abundant number, since it is smaller than the sum of its proper divisors (1361664600).

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

680832120 is a wasteful number, since it uses less digits than its factorization.

680832120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673615 (or 5673611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 680832120 is about 26092.7599153482. The cubic root of 680832120 is about 879.7244833075.

The spelling of 680832120 in words is "six hundred eighty million, eight hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5673601 11347202 17020803 22694404 28368005 34041606 45388808 56736010 68083212 85104015 113472020 136166424 170208030 226944040 340416060 680832120