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680666844 = 2231113795021
BaseRepresentation
bin101000100100100…
…010011011011100
31202102210110101010
4220210202123130
52343222314334
6151313015220
722603400304
oct5044423334
91672713333
10680666844
1131a245090
1216bb54510
13ab030660
1466584604
153eb540e9
hex289226dc

680666844 has 96 divisors (see below), whose sum is σ = 1889879040. Its totient is φ = 187948800.

The previous prime is 680666821. The next prime is 680666879. The reversal of 680666844 is 448666086.

It is a junction number, because it is equal to n+sod(n) for n = 680666793 and 680666802.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 133054 + ... + 138074.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2680666844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680666844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

680666844 is an abundant number, since it is smaller than the sum of its proper divisors (1209212196).

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

680666844 is a wasteful number, since it uses less digits than its factorization.

680666844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 680666844 is about 26089.5926376783. The cubic root of 680666844 is about 879.6532914496.

The spelling of 680666844 in words is "six hundred eighty million, six hundred sixty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1716 1738 2054 2607 3081 3476 4108 5021 5214 6162 10042 10428 11297 12324 15063 20084 22594 30126 33891 45188 55231 60252 65273 67782 110462 130546 135564 165693 195819 220924 261092 331386 391638 396659 662772 718003 783276 793318 1189977 1436006 1586636 2154009 2379954 2872012 4308018 4363249 4759908 5156567 8616036 8726498 10313134 13089747 15469701 17452996 20626268 26179494 30939402 52358988 56722237 61878804 113444474 170166711 226888948 340333422 680666844