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1680788351 = 111729309937
BaseRepresentation
bin110010000101110…
…1100101101111111
311100010200220011102
41210023230231333
511420240211401
6434441043315
756436315404
oct14413545577
94303626142
101680788351
11792841190
123aaa8653b
1320a2b0c28
1411d3242ab
159c85b56b
hex642ecb7f

1680788351 has 16 divisors (see below), whose sum is σ = 2008398240. Its totient is φ = 1388513280.

The previous prime is 1680788339. The next prime is 1680788359. The reversal of 1680788351 is 1538870861.

It is a happy number.

It is not a de Polignac number, because 1680788351 - 222 = 1676594047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1680788296 and 1680788305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680788359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149546 + ... + 160391.

It is an arithmetic number, because the mean of its divisors is an integer number (125524890).

Almost surely, 21680788351 is an apocalyptic number.

1680788351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1680788351 is a deficient number, since it is larger than the sum of its proper divisors (327609889).

1680788351 is a wasteful number, since it uses less digits than its factorization.

1680788351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309994.

The product of its (nonzero) digits is 322560, while the sum is 47.

The square root of 1680788351 is about 40997.4188333851. The cubic root of 1680788351 is about 1188.9703097607.

The spelling of 1680788351 in words is "one billion, six hundred eighty million, seven hundred eighty-eight thousand, three hundred fifty-one".

Divisors: 1 11 17 29 187 319 493 5423 309937 3409307 5268929 8988173 57958219 98869903 152798941 1680788351