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1685683980 = 223353738369
BaseRepresentation
bin110010001111001…
…0111111100001100
311100110220121201000
41210132113330030
511423013341410
6435134020300
756526035361
oct14436277414
94313817630
101685683980
11795585362
123b0647690
1320b306356
1411dc3a468
159cec6dc0
hex64797f0c

1685683980 has 96 divisors (see below), whose sum is σ = 5259038400. Its totient is φ = 448257024.

The previous prime is 1685683903. The next prime is 1685684003. The reversal of 1685683980 is 893865861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197236 + ... + 205604.

It is an arithmetic number, because the mean of its divisors is an integer number (54781650).

Almost surely, 21685683980 is an apocalyptic number.

1685683980 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 1685683980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629519200).

1685683980 is an abundant number, since it is smaller than the sum of its proper divisors (3573354420).

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

1685683980 is a wasteful number, since it uses less digits than its factorization.

1685683980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1685683980 is about 41057.0819713238. The cubic root of 1685683980 is about 1190.1235613053.

The spelling of 1685683980 in words is "one billion, six hundred eighty-five million, six hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 373 540 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 8369 10071 11190 13428 16738 16785 20142 22380 25107 33476 33570 40284 41845 50214 50355 67140 75321 83690 100428 100710 125535 150642 167380 201420 225963 251070 301284 376605 451926 502140 753210 903852 1129815 1506420 2259630 3121637 4519260 6243274 9364911 12486548 15608185 18729822 28094733 31216370 37459644 46824555 56189466 62432740 84284199 93649110 112378932 140473665 168568398 187298220 280947330 337136796 421420995 561894660 842841990 1685683980