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682341120 = 2832561971
BaseRepresentation
bin101000101010111…
…011001100000000
31202112221112001100
4220222323030000
52344134403440
6151412534400
722623542466
oct5052731400
91675845040
10682341120
11320188a8a
12170621400
13ab498756
146689c836
153ed85230
hex28abb300

682341120 has 216 divisors, whose sum is σ = 2402002512. Its totient is φ = 178790400.

The previous prime is 682341073. The next prime is 682341193. The reversal of 682341120 is 21143286.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702235 + ... + 703205.

It is an arithmetic number, because the mean of its divisors is an integer number (11120382).

Almost surely, 2682341120 is an apocalyptic number.

682341120 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 682341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201001256).

682341120 is an abundant number, since it is smaller than the sum of its proper divisors (1719661392).

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

682341120 is a wasteful number, since it uses less digits than its factorization.

682341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 682341120 is about 26121.6599778804. The cubic root of 682341120 is about 880.3739457568.

The spelling of 682341120 in words is "six hundred eighty-two million, three hundred forty-one thousand, one hundred twenty".