Search a number
-
+
1130058270 = 233511596449
BaseRepresentation
bin100001101011011…
…0101001000011110
32220202101220112000
41003112311020132
54303243331040
6304045023130
740001223345
oct10326651036
92822356460
101130058270
1152a985560
12276554aa6
13150176343
14aa124b5c
1569322130
hex435b521e

1130058270 has 128 divisors (see below), whose sum is σ = 3343680000. Its totient is φ = 269268480.

The previous prime is 1130058253. The next prime is 1130058301. The reversal of 1130058270 is 728500311.

1130058270 is a `hidden beast` number, since 1 + 13 + 0 + 0 + 582 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172006 + ... + 178454.

It is an arithmetic number, because the mean of its divisors is an integer number (26122500).

Almost surely, 21130058270 is an apocalyptic number.

1130058270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130058270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671840000).

1130058270 is an abundant number, since it is smaller than the sum of its proper divisors (2213621730).

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

1130058270 is a wasteful number, since it uses less digits than its factorization.

1130058270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1130058270 is about 33616.3393307481. The cubic root of 1130058270 is about 1041.5983405068.

Adding to 1130058270 its reverse (728500311), we get a palindrome (1858558581).

The spelling of 1130058270 in words is "one billion, one hundred thirty million, fifty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 90 99 110 118 135 165 177 198 270 295 297 330 354 495 531 590 594 649 885 990 1062 1298 1485 1593 1770 1947 2655 2970 3186 3245 3894 5310 5841 6449 6490 7965 9735 11682 12898 15930 17523 19347 19470 29205 32245 35046 38694 58041 58410 64490 70939 87615 96735 116082 141878 174123 175230 193470 212817 290205 348246 354695 380491 425634 580410 638451 709390 760982 870615 1064085 1141473 1276902 1741230 1902455 1915353 2128170 2282946 3192255 3424419 3804910 3830706 4185401 5707365 6384510 6848838 8370802 9576765 10273257 11414730 12556203 17122095 19153530 20546514 20927005 25112406 34244190 37668609 41854010 51366285 62781015 75337218 102732570 113005827 125562030 188343045 226011654 376686090 565029135 1130058270