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1682360405 = 51122780761
BaseRepresentation
bin110010001000110…
…1100100001010101
311100020122202121122
41210101230201111
511421141013110
6434534453325
756455553555
oct14421544125
94306582548
101682360405
11793715300
123ab504245
1320a71163b
1411d613165
159ca6c255
hex6446c855

1682360405 has 12 divisors (see below), whose sum is σ = 2219048076. Its totient is φ = 1223534400.

The previous prime is 1682360387. The next prime is 1682360479. The reversal of 1682360405 is 5040632861.

It can be written as a sum of positive squares in 2 ways, for example, as 317944561 + 1364415844 = 17831^2 + 36938^2 .

It is not a de Polignac number, because 1682360405 - 228 = 1413924949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1389776 + ... + 1390985.

It is an arithmetic number, because the mean of its divisors is an integer number (184920673).

Almost surely, 21682360405 is an apocalyptic number.

It is an amenable number.

1682360405 is a deficient number, since it is larger than the sum of its proper divisors (536687671).

1682360405 is a wasteful number, since it uses less digits than its factorization.

1682360405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780788 (or 2780777 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 1682360405 is about 41016.5869496720. The cubic root of 1682360405 is about 1189.3408785471.

The spelling of 1682360405 in words is "one billion, six hundred eighty-two million, three hundred sixty thousand, four hundred five".

Divisors: 1 5 11 55 121 605 2780761 13903805 30588371 152941855 336472081 1682360405