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1130084208 = 2432112331019
BaseRepresentation
bin100001101011011…
…1011011101110000
32220202110020002200
41003112323131300
54303300143313
6304045343200
740001362101
oct10326733560
92822406080
101130084208
1152a9a2aa0
12276567b00
131501850a6
14aa1303a8
1569329b73
hex435bb770

1130084208 has 120 divisors (see below), whose sum is σ = 3600305280. Its totient is φ = 327550080.

The previous prime is 1130084183. The next prime is 1130084213. The reversal of 1130084208 is 8024800311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20923 + ... + 51941.

It is an arithmetic number, because the mean of its divisors is an integer number (30002544).

Almost surely, 21130084208 is an apocalyptic number.

1130084208 is a gapful number since it is divisible by the number (18) 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 1130084208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800152640).

1130084208 is an abundant number, since it is smaller than the sum of its proper divisors (2470221072).

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

1130084208 is a wasteful number, since it uses less digits than its factorization.

1130084208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1130084208 is about 33616.7251230693. The cubic root of 1130084208 is about 1041.6063096449.

Adding to 1130084208 its reverse (8024800311), we get a palindrome (9154884519).

The spelling of 1130084208 in words is "one billion, one hundred thirty million, eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 6072 9108 12144 18216 31019 36432 62038 93057 124076 186114 248152 279171 341209 372228 496304 558342 682418 713437 744456 1023627 1116684 1364836 1426874 1488912 2047254 2140311 2233368 2729672 2853748 3070881 4094508 4280622 4466736 5459344 5707496 6141762 6420933 7847807 8189016 8561244 11414992 12283524 12841866 15695614 16378032 17122488 23543421 24567048 25683732 31391228 34244976 47086842 49134096 51367464 62782456 70630263 94173684 102734928 125564912 141260526 188347368 282521052 376694736 565042104 1130084208