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680479140 = 2235113179421
BaseRepresentation
bin101000100011110…
…100100110100100
31202102102220220010
4220203310212210
52343200313030
6151305010220
722601656125
oct5043644644
91672386803
10680479140
1131a127060
1216ba83970
13aac960a3
146653604c
153eb186b0
hex288f49a4

680479140 has 192 divisors, whose sum is σ = 2177925120. Its totient is φ = 157248000.

The previous prime is 680479027. The next prime is 680479141. The reversal of 680479140 is 41974086.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (680479141) 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 63 ways as a sum of consecutive naturals, for example, 1616130 + ... + 1616550.

It is an arithmetic number, because the mean of its divisors is an integer number (11343360).

Almost surely, 2680479140 is an apocalyptic number.

680479140 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 680479140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088962560).

680479140 is an abundant number, since it is smaller than the sum of its proper divisors (1497445980).

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

680479140 is a wasteful number, since it uses less digits than its factorization.

680479140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 680479140 is about 26085.9950931530. The cubic root of 680479140 is about 879.5724248588.

The spelling of 680479140 in words is "six hundred eighty million, four hundred seventy-nine thousand, one hundred forty".