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1680284088 = 23347252919
BaseRepresentation
bin110010000100111…
…0001100110111000
311100002202021110000
41210021301212320
511420123042323
6434422153000
756432115300
oct14411614670
94302667400
101680284088
1179252733a
123aa882760
1320a165552
1411d232600
159c7abe43
hex642719b8

1680284088 has 120 divisors (see below), whose sum is σ = 5474838600. Its totient is φ = 480072096.

The previous prime is 1680283991. The next prime is 1680284093. The reversal of 1680284088 is 8804820861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5293 + ... + 58211.

It is an arithmetic number, because the mean of its divisors is an integer number (45623655).

Almost surely, 21680284088 is an apocalyptic number.

1680284088 is a gapful number since it is divisible by the number (18) 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 1680284088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737419300).

1680284088 is an abundant number, since it is smaller than the sum of its proper divisors (3794554512).

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

1680284088 is a wasteful number, since it uses less digits than its factorization.

1680284088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52951 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1680284088 is about 40991.2684360950. The cubic root of 1680284088 is about 1188.8513945895.

The spelling of 1680284088 in words is "one billion, six hundred eighty million, two hundred eighty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 52919 105838 158757 211676 317514 370433 423352 476271 635028 740866 952542 1111299 1270056 1428813 1481732 1905084 2222598 2593031 2857626 2963464 3333897 3810168 4286439 4445196 5186062 5715252 6667794 7779093 8572878 8890392 10001691 10372124 11430504 13335588 15558186 17145756 20003382 20744248 23337279 26671176 30005073 31116372 34291512 40006764 46674558 60010146 62232744 70011837 80013528 93349116 120020292 140023674 186698232 210035511 240040584 280047348 420071022 560094696 840142044 1680284088