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1130122440 = 233253538893
BaseRepresentation
bin100001101011100…
…0100110011001000
32220202112011112200
41003113010303020
54303302404230
6304050240200
740001611416
oct10327046310
92822464480
101130122440
1152aa19797
12276586060
13150199605
14aa1402b6
1569336160
hex435c4cc8

1130122440 has 96 divisors (see below), whose sum is σ = 3683716920. Its totient is φ = 300478464.

The previous prime is 1130122429. The next prime is 1130122471. The reversal of 1130122440 is 442210311.

It can be written as a sum of positive squares in 4 ways, for example, as 644448996 + 485673444 = 25386^2 + 22038^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 122634 + ... + 131526.

Almost surely, 21130122440 is an apocalyptic number.

1130122440 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 1130122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841858460).

1130122440 is an abundant number, since it is smaller than the sum of its proper divisors (2553594480).

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

1130122440 is a wasteful number, since it uses less digits than its factorization.

1130122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1130122440 is about 33617.2937637758. The cubic root of 1130122440 is about 1041.6180557440.

Adding to 1130122440 its reverse (442210311), we get a palindrome (1572332751).

The spelling of 1130122440 in words is "one billion, one hundred thirty million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 353 360 706 1059 1412 1765 2118 2824 3177 3530 4236 5295 6354 7060 8472 8893 10590 12708 14120 15885 17786 21180 25416 26679 31770 35572 42360 44465 53358 63540 71144 80037 88930 106716 127080 133395 160074 177860 213432 266790 320148 355720 400185 533580 640296 800370 1067160 1600740 3139229 3201480 6278458 9417687 12556916 15696145 18835374 25113832 28253061 31392290 37670748 47088435 56506122 62784580 75341496 94176870 113012244 125569160 141265305 188353740 226024488 282530610 376707480 565061220 1130122440