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680660640 = 253251197443
BaseRepresentation
bin101000100100100…
…000111010100000
31202102210010212100
4220210200322200
52343222120030
6151312530400
722603343232
oct5044407240
91672703770
10680660640
1131a240460
1216bb50a00
13ab02a89a
1466582252
153eb52360
hex28920ea0

680660640 has 288 divisors, whose sum is σ = 2565815616. Its totient is φ = 162938880.

The previous prime is 680660623. The next prime is 680660641. The reversal of 680660640 is 46066086.

680660640 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6806606403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 680660595 and 680660604.

It is not an unprimeable number, because it can be changed into a prime (680660641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536259 + ... + 1536701.

It is an arithmetic number, because the mean of its divisors is an integer number (8909082).

Almost surely, 2680660640 is an apocalyptic number.

680660640 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 680660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282907808).

680660640 is an abundant number, since it is smaller than the sum of its proper divisors (1885154976).

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

680660640 is a wasteful number, since it uses less digits than its factorization.

680660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 680660640 is about 26089.4737394222. The cubic root of 680660640 is about 879.6506188814.

The spelling of 680660640 in words is "six hundred eighty million, six hundred sixty thousand, six hundred forty".