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1683419164 = 227314147303
BaseRepresentation
bin110010001010110…
…1111000000011100
311100022122112221221
41210111233000130
511421423403124
6435013303124
756500553410
oct14425570034
94308575857
101683419164
11794278809
123ab934aa4
1320a9c251b
1411d80ad40
159cbcace4
hex6456f01c

1683419164 has 48 divisors (see below), whose sum is σ = 3560288256. Its totient is φ = 681148800.

The previous prime is 1683419161. The next prime is 1683419219. The reversal of 1683419164 is 4619143861.

It is a self number, because there is not a number n which added to its sum of digits gives 1683419164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683419161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11937 + ... + 59239.

It is an arithmetic number, because the mean of its divisors is an integer number (74172672).

Almost surely, 21683419164 is an apocalyptic number.

1683419164 is a gapful number since it is divisible by the number (14) 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 1683419164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780144128).

1683419164 is an abundant number, since it is smaller than the sum of its proper divisors (1876869092).

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

1683419164 is a wasteful number, since it uses less digits than its factorization.

1683419164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47386 (or 47384 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 1683419164 is about 41029.4913933868. The cubic root of 1683419164 is about 1189.5903219862.

The spelling of 1683419164 in words is "one billion, six hundred eighty-three million, four hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 868 1148 1271 2542 5084 8897 17794 35588 47303 94606 189212 331121 662242 1324484 1466393 1939423 2932786 3878846 5865572 7757692 10264751 13575961 20529502 27151922 41059004 54303844 60122113 120244226 240488452 420854791 841709582 1683419164