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1682882860 = 225234917451
BaseRepresentation
bin110010001001110…
…1100000100101100
311100021122022021211
41210103230010230
511421304222420
6434554004204
756463161011
oct14423540454
94307568254
101682882860
11793a4188a
123ab716664
1320a865399
1411d70b708
159cb21e5a
hex644ec12c

1682882860 has 48 divisors (see below), whose sum is σ = 3695715072. Its totient is φ = 642488000.

The previous prime is 1682882857. The next prime is 1682882863. The reversal of 1682882860 is 682882861.

It is an interprime number because it is at equal distance from previous prime (1682882857) and next prime (1682882863).

It is not an unprimeable number, because it can be changed into a prime (1682882863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222135 + ... + 229585.

It is an arithmetic number, because the mean of its divisors is an integer number (76994064).

Almost surely, 21682882860 is an apocalyptic number.

1682882860 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 1682882860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847857536).

1682882860 is an abundant number, since it is smaller than the sum of its proper divisors (2012832212).

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

1682882860 is a wasteful number, since it uses less digits than its factorization.

1682882860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 1682882860 is about 41022.9552811594. The cubic root of 1682882860 is about 1189.4639819312.

Subtracting from 1682882860 its reverse (682882861), we obtain a palindrome (999999999).

The spelling of 1682882860 in words is "one billion, six hundred eighty-two million, eight hundred eighty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 491 982 1964 2455 4910 7451 9820 11293 14902 22586 29804 37255 45172 56465 74510 112930 149020 171373 225860 342746 685492 856865 1713730 3427460 3658441 7316882 14633764 18292205 36584410 73168820 84144143 168288286 336576572 420720715 841441430 1682882860