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1130320224 = 253311118931
BaseRepresentation
bin100001101011111…
…0101000101100000
32220202220012212000
41003113311011200
54303330221344
6304054404000
740003364145
oct10327650540
92822805760
101130320224
11530044350
12276660600
13150238647
14aa1923cc
1569374a69
hex435f5160

1130320224 has 96 divisors (see below), whose sum is σ = 3596503680. Its totient is φ = 342518400.

The previous prime is 1130320223. The next prime is 1130320271. The reversal of 1130320224 is 4220230311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1130320197 and 1130320206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130320223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49962 + ... + 68969.

It is an arithmetic number, because the mean of its divisors is an integer number (37463580).

Almost surely, 21130320224 is an apocalyptic number.

It is an amenable number.

1130320224 is an abundant number, since it is smaller than the sum of its proper divisors (2466183456).

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

1130320224 is a wasteful number, since it uses less digits than its factorization.

1130320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118961 (or 118947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1130320224 is about 33620.2353352858. The cubic root of 1130320224 is about 1041.6788171155.

Adding to 1130320224 its reverse (4220230311), we get a palindrome (5350550535).

The spelling of 1130320224 in words is "one billion, one hundred thirty million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 118931 237862 356793 475724 713586 951448 1070379 1308241 1427172 1902896 2140758 2616482 2854344 3211137 3805792 3924723 4281516 5232964 5708688 6422274 7849446 8563032 10465928 11417376 11774169 12844548 15698892 17126064 20931856 23548338 25689096 31397784 34252128 35322507 41863712 47096676 51378192 62795568 70645014 94193352 102756384 125591136 141290028 188386704 282580056 376773408 565160112 1130320224