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1680000861 = 371144316417
BaseRepresentation
bin110010000100010…
…1100011101011101
311100002012212221010
41210020230131131
511420040011421
6434412125433
756426525460
oct14410543535
94302185833
101680000861
11792353570
123aa766879
1320a096666
1411d19b2d7
159c753076
hex6422c75d

1680000861 has 32 divisors (see below), whose sum is σ = 2799203328. Its totient is φ = 870704640.

The previous prime is 1680000859. The next prime is 1680000863.

1680000861 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1680000859) and next prime (1680000863).

It is not a de Polignac number, because 1680000861 - 21 = 1680000859 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680000863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94125 + ... + 110541.

It is an arithmetic number, because the mean of its divisors is an integer number (87475104).

Almost surely, 21680000861 is an apocalyptic number.

1680000861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1680000861 is a deficient number, since it is larger than the sum of its proper divisors (1119202467).

1680000861 is a wasteful number, since it uses less digits than its factorization.

1680000861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16881.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1680000861 is about 40987.8135669616. The cubic root of 1680000861 is about 1188.7845936366.

It can be divided in two parts, 1680000 and 861, that added together give a palindrome (1680861).

The spelling of 1680000861 in words is "one billion, six hundred eighty million, eight hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 231 443 1329 3101 4873 9303 14619 16417 34111 49251 102333 114919 180587 344757 541761 1264109 3792327 7272731 21818193 50909117 80000041 152727351 240000123 560000287 1680000861