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1004131422 = 232722714201
BaseRepresentation
bin111011110110011…
…101010001011110
32120222110011100200
4323312131101132
54024024201142
6243350004330
733611655600
oct7366352136
92528404320
101004131422
11475895888
122403466a6
13130055808
1497505170
155d24a64c
hex3bd9d45e

1004131422 has 72 divisors (see below), whose sum is σ = 2540764512. Its totient is φ = 285768000.

The previous prime is 1004131417. The next prime is 1004131433. The reversal of 1004131422 is 2241314001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004131395 and 1004131404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236922 + ... + 241122.

It is an arithmetic number, because the mean of its divisors is an integer number (35288396).

Almost surely, 21004131422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004131422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270382256).

1004131422 is an abundant number, since it is smaller than the sum of its proper divisors (1536633090).

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

1004131422 is a wasteful number, since it uses less digits than its factorization.

1004131422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004131422 is about 31688.0327884203. The cubic root of 1004131422 is about 1001.3752484912.

Adding to 1004131422 its reverse (2241314001), we get a palindrome (3245445423).

The spelling of 1004131422 in words is "one billion, four million, one hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 271 294 441 542 813 882 1626 1897 2439 3794 4201 4878 5691 8402 11382 12603 13279 17073 25206 26558 29407 34146 37809 39837 58814 75618 79674 88221 119511 176442 205849 239022 264663 411698 529326 617547 1138471 1235094 1852641 2276942 3415413 3705282 6830826 7969297 10246239 15938594 20492478 23907891 47815782 55785079 71723673 111570158 143447346 167355237 334710474 502065711 1004131422