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1680983808 = 28372192351
BaseRepresentation
bin110010000110001…
…1100011100000000
311100011001211021120
41210030130130000
511420312440213
6434445152240
756441061300
oct14414343400
94304054246
101680983808
11792965019
123aab5b680
1320a34bb9a
1411d375600
159c899423
hex6431c700

1680983808 has 216 divisors, whose sum is σ = 5480536320. Its totient is φ = 454809600.

The previous prime is 1680983701. The next prime is 1680983813. The reversal of 1680983808 is 8083890861.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 713833 + ... + 716183.

Almost surely, 21680983808 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 1680983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740268160).

1680983808 is an abundant number, since it is smaller than the sum of its proper divisors (3799552512).

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

1680983808 is a wasteful number, since it uses less digits than its factorization.

1680983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1680983808 is about 40999.8025361099. The cubic root of 1680983808 is about 1189.0163959841.

The spelling of 1680983808 in words is "one billion, six hundred eighty million, nine hundred eighty-three thousand, eight hundred eight".