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680497920 = 28325193109
BaseRepresentation
bin101000100011111…
…001001100000000
31202102110212122200
4220203321030000
52343201413140
6151305233200
722602064644
oct5043711400
91672425580
10680497920
1131a13a183
1216ba92800
13aaca17bb
146653cc24
153eb1e030
hex288f9300

680497920 has 216 divisors, whose sum is σ = 2479167600. Its totient is φ = 171859968.

The previous prime is 680497891. The next prime is 680497921. The reversal of 680497920 is 29794086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680497921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217326 + ... + 220434.

Almost surely, 2680497920 is an apocalyptic number.

680497920 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 680497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239583800).

680497920 is an abundant number, since it is smaller than the sum of its proper divisors (1798669680).

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

680497920 is a wasteful number, since it uses less digits than its factorization.

680497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 680497920 is about 26086.3550539358. The cubic root of 680497920 is about 879.5805163232.

The spelling of 680497920 in words is "six hundred eighty million, four hundred ninety-seven thousand, nine hundred twenty".