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1130304120 = 2335113723143
BaseRepresentation
bin100001101011111…
…0001001001111000
32220202212101202120
41003113301021320
54303324212440
6304054201240
740003266201
oct10327611170
92822771676
101130304120
11530033240
12276653220
1315023120a
14aa18a5a8
156936edd0
hex435f1278

1130304120 has 128 divisors (see below), whose sum is σ = 3799319040. Its totient is φ = 266595840.

The previous prime is 1130304079. The next prime is 1130304121. The reversal of 1130304120 is 214030311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130304120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130304121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37269 + ... + 60411.

It is an arithmetic number, because the mean of its divisors is an integer number (29682180).

Almost surely, 21130304120 is an apocalyptic number.

1130304120 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 1130304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899659520).

1130304120 is an abundant number, since it is smaller than the sum of its proper divisors (2669014920).

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

1130304120 is a wasteful number, since it uses less digits than its factorization.

1130304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23205 (or 23201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1130304120 is about 33619.9958358118. The cubic root of 1130304120 is about 1041.6738700586.

Adding to 1130304120 its reverse (214030311), we get a palindrome (1344334431).

The spelling of 1130304120 in words is "one billion, one hundred thirty million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 23143 24420 46286 48840 69429 92572 115715 138858 185144 231430 254573 277716 347145 462860 509146 555432 694290 763719 856291 925720 1018292 1272865 1388580 1527438 1712582 2036584 2545730 2568873 2777160 3054876 3425164 3818595 4281455 5091460 5137746 6109752 6850328 7637190 8562910 9419201 10182920 10275492 12844365 15274380 17125820 18838402 20550984 25688730 28257603 30548760 34251640 37676804 47096005 51377460 56515206 75353608 94192010 102754920 113030412 141288015 188384020 226060824 282576030 376768040 565152060 1130304120