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1099665424 = 241121323361
BaseRepresentation
bin100000110001011…
…1001000000010000
32211122012210101001
41001202321000100
54223003243144
6301041351344
736152000434
oct10142710020
92748183331
101099665424
11514806a00
12268338554
13146a94600
14a60929c4
156681bbd4
hex418b9010

1099665424 has 90 divisors (see below), whose sum is σ = 2536659258. Its totient is φ = 461260800.

The previous prime is 1099665409. The next prime is 1099665461. The reversal of 1099665424 is 4245669901.

It can be written as a sum of positive squares in 3 ways, for example, as 19360000 + 1080305424 = 4400^2 + 32868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 325504 + ... + 328864.

Almost surely, 21099665424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099665424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268329629).

1099665424 is an abundant number, since it is smaller than the sum of its proper divisors (1436993834).

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

1099665424 is a wasteful number, since it uses less digits than its factorization.

1099665424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 1099665424 is about 33161.2035969746. The cubic root of 1099665424 is about 1032.1754454035.

The spelling of 1099665424 in words is "one billion, ninety-nine million, six hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2288 2704 3146 3361 3718 6292 6722 7436 12584 13444 14872 20449 25168 26888 29744 36971 40898 43693 53776 73942 81796 87386 147884 163592 174772 295768 327184 349544 406681 480623 568009 591536 699088 813362 961246 1136018 1626724 1922492 2272036 3253448 3844984 4544072 5286853 6248099 6506896 7689968 9088144 10573706 12496198 21147412 24992396 42294824 49984792 68729089 84589648 99969584 137458178 274916356 549832712 1099665424