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1130805984 = 253711213907
BaseRepresentation
bin100001101100110…
…1011101011100000
32220210210220012010
41003121223223200
54303441242414
6304113032520
740010456310
oct10331535340
92823726163
101130805984
11530346300
12276855740
13150378789
14aa27b440
156941d959
hex4366bae0

1130805984 has 144 divisors (see below), whose sum is σ = 3729124224. Its totient is φ = 293694720.

The previous prime is 1130805979. The next prime is 1130806009. The reversal of 1130805984 is 4895080311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74359 + ... + 88265.

It is an arithmetic number, because the mean of its divisors is an integer number (25896696).

Almost surely, 21130805984 is an apocalyptic number.

1130805984 is a gapful number since it is divisible by the number (14) 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 1130805984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864562112).

1130805984 is an abundant number, since it is smaller than the sum of its proper divisors (2598318240).

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

1130805984 is a wasteful number, since it uses less digits than its factorization.

1130805984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1130805984 is about 33627.4587799911. The cubic root of 1130805984 is about 1041.8280177352.

The spelling of 1130805984 in words is "one billion, one hundred thirty million, eight hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 11616 13552 13907 20328 27104 27814 40656 41721 55628 81312 83442 97349 111256 152977 166884 194698 222512 292047 305954 333768 389396 445024 458931 584094 611908 667536 778792 917862 1070839 1168188 1223816 1335072 1557584 1682747 1835724 2141678 2336376 2447632 3115168 3212517 3365494 3671448 4283356 4672752 4895264 5048241 6425034 6730988 7342896 8566712 9345504 10096482 11779229 12850068 13461976 14685792 17133424 20192964 23558458 25700136 26923952 34266848 35337687 40385928 47116916 51400272 53847904 70675374 80771856 94233832 102800544 141350748 161543712 188467664 282701496 376935328 565402992 1130805984