Search a number
-
+
1130302404 = 2233721119417
BaseRepresentation
bin100001101011111…
…0000101111000100
32220202212022102000
41003113300233010
54303324134104
6304054145300
740003261200
oct10327605704
92822768360
101130302404
11530031a20
12276652230
131502304ba
14aa189b00
156936e639
hex435f0bc4

1130302404 has 144 divisors (see below), whose sum is σ = 3718935360. Its totient is φ = 293569920.

The previous prime is 1130302379. The next prime is 1130302421. The reversal of 1130302404 is 4042030311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48504 + ... + 67920.

It is an arithmetic number, because the mean of its divisors is an integer number (25825940).

Almost surely, 21130302404 is an apocalyptic number.

1130302404 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 1130302404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859467680).

1130302404 is an abundant number, since it is smaller than the sum of its proper divisors (2588632956).

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

1130302404 is a wasteful number, since it uses less digits than its factorization.

1130302404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1130302404 is about 33619.9703152754. The cubic root of 1130302404 is about 1041.6733429105.

Adding to 1130302404 its reverse (4042030311), we get a palindrome (5172332715).

The spelling of 1130302404 in words is "one billion, one hundred thirty million, three hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 19417 29106 38834 58212 58251 77668 116502 135919 174753 213587 233004 271838 349506 407757 427174 524259 543676 640761 699012 815514 854348 951433 1048518 1223271 1281522 1495109 1631028 1902866 1922283 2097036 2446542 2563044 2854299 2990218 3669813 3805732 3844566 4485327 4893084 5708598 5766849 5980436 7339626 7689132 8562897 8970654 10465763 11417196 11533698 13455981 14679252 17125794 17941308 20931526 23067396 25688691 26911962 31397289 34251588 40367943 41863052 51377382 53823924 62794578 80735886 94191867 102754764 125589156 161471772 188383734 282575601 376767468 565151202 1130302404