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1130351140 = 225314153839
BaseRepresentation
bin100001101011111…
…1100101000100100
32220202221210021001
41003113330220210
54303332214030
6304055203044
740003553242
oct10327745044
92822853231
101130351140
115300655a6
12276676484
13150249739
14aa19d792
156937dcca
hex435fca24

1130351140 has 96 divisors (see below), whose sum is σ = 2560481280. Its totient is φ = 418329600.

The previous prime is 1130351129. The next prime is 1130351153. The reversal of 1130351140 is 411530311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346841 + ... + 1347679.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 21130351140 is an apocalyptic number.

1130351140 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 1130351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280240640).

1130351140 is an abundant number, since it is smaller than the sum of its proper divisors (1430130140).

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

1130351140 is a wasteful number, since it uses less digits than its factorization.

1130351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1130351140 is about 33620.6951147653. The cubic root of 1130351140 is about 1041.6883142026.

Adding to 1130351140 its reverse (411530311), we get a palindrome (1541881451).

The spelling of 1130351140 in words is "one billion, one hundred thirty million, three hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 41 53 62 82 106 124 155 164 205 212 265 310 410 530 620 820 839 1060 1271 1643 1678 2173 2542 3286 3356 4195 4346 5084 6355 6572 8215 8390 8692 10865 12710 16430 16780 21730 25420 26009 32860 34399 43460 44467 52018 67363 68798 88934 104036 130045 134726 137596 171995 177868 222335 260090 269452 336815 343990 444670 520180 673630 687980 889340 1066369 1347260 1378477 1823147 2132738 2756954 3646294 4265476 5331845 5513908 6892385 7292588 9115735 10663690 13784770 18231470 21327380 27569540 36462940 56517557 113035114 226070228 282587785 565175570 1130351140