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683134596 = 2232175321061
BaseRepresentation
bin101000101101111…
…100111010000100
31202121102211111100
4220231330322010
52344340301341
6151441540100
722633356024
oct5055747204
91677384440
10683134596
11320680151
12170944630
13ab6b5971
1466a27a84
153ee903b6
hex28b7ce84

683134596 has 72 divisors (see below), whose sum is σ = 1862976024. Its totient is φ = 210263040.

The previous prime is 683134591. The next prime is 683134603. The reversal of 683134596 is 695431386.

683134596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 487526400 + 195608196 = 22080^2 + 13986^2 .

It is not an unprimeable number, because it can be changed into a prime (683134591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21906 + ... + 42966.

It is an arithmetic number, because the mean of its divisors is an integer number (25874667).

Almost surely, 2683134596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683134596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931488012).

683134596 is an abundant number, since it is smaller than the sum of its proper divisors (1179841428).

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

683134596 is a wasteful number, since it uses less digits than its factorization.

683134596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21141 (or 21136 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 683134596 is about 26136.8436502956. The cubic root of 683134596 is about 880.7150678995.

The spelling of 683134596 in words is "six hundred eighty-three million, one hundred thirty-four thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 16218 21061 32436 42122 63183 84244 126366 189549 252732 358037 379098 716074 758196 1074111 1116233 1432148 2148222 2232466 3222333 3348699 4296444 4464932 6444666 6697398 10046097 12889332 13394796 18975961 20092194 37951922 40184388 56927883 75903844 113855766 170783649 227711532 341567298 683134596