Search a number
-
+
1116671160 = 2335112336781
BaseRepresentation
bin100001010001111…
…0000110010111000
32212211012202212010
41002203300302320
54241331434120
6302450045520
736446356023
oct10243606270
92784182763
101116671160
11523371630
12271b798a0
1314a469b87
14a843c1ba
156807a7e0
hex428f0cb8

1116671160 has 128 divisors (see below), whose sum is σ = 3813557760. Its totient is φ = 258931200.

The previous prime is 1116671159. The next prime is 1116671161. The reversal of 1116671160 is 611766111.

It is an interprime number because it is at equal distance from previous prime (1116671159) and next prime (1116671161).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116671161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11970 + ... + 48750.

It is an arithmetic number, because the mean of its divisors is an integer number (29793420).

Almost surely, 21116671160 is an apocalyptic number.

1116671160 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 1116671160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906778880).

1116671160 is an abundant number, since it is smaller than the sum of its proper divisors (2696886600).

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

1116671160 is a wasteful number, since it uses less digits than its factorization.

1116671160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36829 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1116671160 is about 33416.6299916673. The cubic root of 1116671160 is about 1037.4689313772.

It can be divided in two parts, 1116 and 671160, that added together give a palindrome (672276).

The spelling of 1116671160 in words is "one billion, one hundred sixteen million, six hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 36781 73562 110343 147124 183905 220686 294248 367810 404591 441372 551715 735620 809182 845963 882744 1103430 1213773 1471240 1618364 1691926 2022955 2206860 2427546 2537889 3236728 3383852 4045910 4229815 4413720 4855092 5075778 6068865 6767704 8091820 8459630 9305593 9710184 10151556 12137730 12689445 16183640 16919260 18611186 20303112 24275460 25378890 27916779 33838520 37222372 46527965 48550920 50757780 55833558 74444744 93055930 101515560 111667116 139583895 186111860 223334232 279167790 372223720 558335580 1116671160