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1680494860 = 2251137431479
BaseRepresentation
bin110010000101010…
…0101000100001100
311100010010222120101
41210022211010030
511420201313420
6434430500444
756433653632
oct14412450414
94303128511
101680494860
11792660730
123aa964724
1320a20a475
1411d289352
159c7ee60a
hex642a510c

1680494860 has 96 divisors (see below), whose sum is σ = 3971358720. Its totient is φ = 591955200.

The previous prime is 1680494831. The next prime is 1680494887. The reversal of 1680494860 is 684940861.

It is a self number, because there is not a number n which added to its sum of digits gives 1680494860.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3508101 + ... + 3508579.

It is an arithmetic number, because the mean of its divisors is an integer number (41368320).

Almost surely, 21680494860 is an apocalyptic number.

1680494860 is a gapful number since it is divisible by the number (10) 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 1680494860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1680494860 is an abundant number, since it is smaller than the sum of its proper divisors (2290863860).

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

1680494860 is a wasteful number, since it uses less digits than its factorization.

1680494860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 1680494860 is about 40993.8392932401. The cubic root of 1680494860 is about 1188.9011016819.

The spelling of 1680494860 in words is "one billion, six hundred eighty million, four hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 431 479 740 814 862 958 1628 1724 1916 2035 2155 2395 4070 4310 4741 4790 5269 8140 8620 9482 9580 10538 15947 17723 18964 21076 23705 26345 31894 35446 47410 52690 63788 70892 79735 88615 94820 105380 159470 175417 177230 194953 206449 318940 350834 354460 389906 412898 701668 779812 825796 877085 974765 1032245 1754170 1949530 2064490 2270939 3508340 3899060 4128980 4541878 7638613 9083756 11354695 15277226 22709390 30554452 38193065 45418780 76386130 84024743 152772260 168049486 336098972 420123715 840247430 1680494860