Search a number
-
+
1130523200 = 26521674231
BaseRepresentation
bin100001101100010…
…0110101001000000
32220210021112021122
41003120212221000
54303403220300
6304103011412
740005201002
oct10330465100
92823245248
101130523200
115301728a4
12276739b68
131502a9b51
14aa206372
15693b4c85
hex43626a40

1130523200 has 84 divisors (see below), whose sum is σ = 2799112512. Its totient is φ = 449395200.

The previous prime is 1130523167. The next prime is 1130523281. The reversal of 1130523200 is 23250311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265085 + ... + 269315.

It is an arithmetic number, because the mean of its divisors is an integer number (33322768).

Almost surely, 21130523200 is an apocalyptic number.

1130523200 is a gapful number since it is divisible by the number (10) 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 1130523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399556256).

1130523200 is an abundant number, since it is smaller than the sum of its proper divisors (1668589312).

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

1130523200 is a wasteful number, since it uses less digits than its factorization.

1130523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1130523200 is about 33623.2538580073. The cubic root of 1130523200 is about 1041.7411661562.

Adding to 1130523200 its reverse (23250311), we get a palindrome (1153773511).

The spelling of 1130523200 in words is "one billion, one hundred thirty million, five hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 167 200 320 334 400 668 800 835 1336 1600 1670 2672 3340 4175 4231 5344 6680 8350 8462 10688 13360 16700 16924 21155 26720 33400 33848 42310 53440 66800 67696 84620 105775 133600 135392 169240 211550 267200 270784 338480 423100 676960 706577 846200 1353920 1413154 1692400 2826308 3384800 3532885 5652616 6769600 7065770 11305232 14131540 17664425 22610464 28263080 35328850 45220928 56526160 70657700 113052320 141315400 226104640 282630800 565261600 1130523200