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1683423672 = 233710099931
BaseRepresentation
bin110010001010111…
…0000000110111000
311100022122210010220
41210111300012320
511421424024142
6435013340040
756500602510
oct14425600670
94308583126
101683423672
11794281137
123ab937620
1320a9c45a8
1411d80c840
159cbcc2ec
hex645701b8

1683423672 has 64 divisors (see below), whose sum is σ = 4815033600. Its totient is φ = 480453120.

The previous prime is 1683423667. The next prime is 1683423673. The reversal of 1683423672 is 2763243861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683423673) 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, 164547 + ... + 174477.

It is an arithmetic number, because the mean of its divisors is an integer number (75234900).

Almost surely, 21683423672 is an apocalyptic number.

1683423672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1683423672 is an abundant number, since it is smaller than the sum of its proper divisors (3131609928).

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

1683423672 is a wasteful number, since it uses less digits than its factorization.

1683423672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10952 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 1683423672 is about 41029.5463294441. The cubic root of 1683423672 is about 1189.5913838466.

The spelling of 1683423672 in words is "one billion, six hundred eighty-three million, four hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1009 2018 3027 4036 6054 7063 8072 9931 12108 14126 19862 21189 24216 28252 29793 39724 42378 56504 59586 69517 79448 84756 119172 139034 169512 208551 238344 278068 417102 556136 834204 1668408 10020379 20040758 30061137 40081516 60122274 70142653 80163032 120244548 140285306 210427959 240489096 280570612 420855918 561141224 841711836 1683423672