Search a number
-
+
1112384880 = 243352322391
BaseRepresentation
bin100001001001101…
…1010010101110000
32212112011000012000
41002103122111300
54234232304010
6302214134000
736365054415
oct10223322560
92775130160
101112384880
11520a04252
12270651300
131495c8c09
14a7a4410c
15679d07c0
hex424da570

1112384880 has 160 divisors (see below), whose sum is σ = 3998315520. Its totient is φ = 283726080.

The previous prime is 1112384809. The next prime is 1112384893. The reversal of 1112384880 is 884832111.

It is a super-2 number, since 2×11123848802 = 2474800242505228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 38485 + ... + 60875.

It is an arithmetic number, because the mean of its divisors is an integer number (24989472).

Almost surely, 21112384880 is an apocalyptic number.

1112384880 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 1112384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999157760).

1112384880 is an abundant number, since it is smaller than the sum of its proper divisors (2885930640).

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

1112384880 is a wasteful number, since it uses less digits than its factorization.

1112384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436 (or 22424 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1112384880 is about 33352.4343939089. The cubic root of 1112384880 is about 1036.1398071139.

The spelling of 1112384880 in words is "one billion, one hundred twelve million, three hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 22391 24840 44782 49680 67173 89564 111955 134346 179128 201519 223910 268692 335865 358256 403038 447820 514993 537384 604557 671730 806076 895640 1007595 1029986 1074768 1209114 1343460 1544979 1612152 1791280 2015190 2059972 2418228 2574965 2686920 3022785 3089958 3224304 4030380 4119944 4634937 4836456 5149930 5373840 6045570 6179916 7724895 8060760 8239888 9269874 9672912 10299860 12091140 12359832 13904811 15449790 16121520 18539748 20599720 23174685 24182280 24719664 27809622 30899580 37079496 41199440 46349370 48364560 55619244 61799160 69524055 74158992 92698740 111238488 123598320 139048110 185397480 222476976 278096220 370794960 556192440 1112384880