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680212260 = 22325713131317
BaseRepresentation
bin101000100010110…
…011011100100100
31202101221100210200
4220202303130210
52343113243020
6151255150500
722566465060
oct5042633444
91671840720
10680212260
11319a645a2
1216b975430
13aac01780
14664a6aa0
153eab4590
hex288b3724

680212260 has 288 divisors, whose sum is σ = 2566916352. Its totient is φ = 141972480.

The previous prime is 680212243. The next prime is 680212271. The reversal of 680212260 is 62212086.

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 95 ways as a sum of consecutive naturals, for example, 2145622 + ... + 2145938.

It is an arithmetic number, because the mean of its divisors is an integer number (8912904).

Almost surely, 2680212260 is an apocalyptic number.

680212260 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 680212260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283458176).

680212260 is an abundant number, since it is smaller than the sum of its proper divisors (1886704092).

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

680212260 is a wasteful number, since it uses less digits than its factorization.

680212260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

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

The square root of 680212260 is about 26080.8792029717. The cubic root of 680212260 is about 879.4574220765.

The spelling of 680212260 in words is "six hundred eighty million, two hundred twelve thousand, two hundred sixty".