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1106255008 = 25172375361
BaseRepresentation
bin100000111110000…
…0001110010100000
32212002121120120201
41001330001302200
54231200130013
6301434514544
736262004155
oct10174016240
92762546521
101106255008
115184a7841
1226a595a54
13148260a81
14a6cca22c
15671be3dd
hex41f01ca0

1106255008 has 144 divisors (see below), whose sum is σ = 2460639384. Its totient is φ = 488816640.

The previous prime is 1106254999. The next prime is 1106255009. The reversal of 1106255008 is 8005526011.

It can be written as a sum of positive squares in 12 ways, for example, as 489825424 + 616429584 = 22132^2 + 24828^2 .

It is not an unprimeable number, because it can be changed into a prime (1106255009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18135298 + ... + 18135358.

Almost surely, 21106255008 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 1106255008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230319692).

1106255008 is an abundant number, since it is smaller than the sum of its proper divisors (1354384376).

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

1106255008 is a wasteful number, since it uses less digits than its factorization.

1106255008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1106255008 is about 33260.4120239061. The cubic root of 1106255008 is about 1034.2330609362.

The spelling of 1106255008 in words is "one billion, one hundred six million, two hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 37 53 61 68 74 106 122 136 148 212 244 272 289 296 424 488 544 578 592 629 848 901 976 1037 1156 1184 1258 1696 1802 1952 1961 2074 2257 2312 2516 3233 3604 3922 4148 4514 4624 5032 6466 7208 7844 8296 9028 9248 10064 10693 12932 14416 15317 15688 16592 17629 18056 20128 21386 25864 28832 30634 31376 33184 33337 35258 36112 38369 42772 51728 54961 61268 62752 66674 70516 72224 76738 85544 103456 109922 119621 122536 133348 141032 153476 171088 219844 239242 245072 266696 282064 306952 342176 439688 478484 490144 533392 564128 566729 613904 652273 879376 934337 956968 1066784 1133458 1227808 1304546 1758752 1868674 1913936 2033557 2266916 2609092 3737348 3827872 4067114 4533832 5218184 7474696 8134228 9067664 10436368 14949392 16268456 18135328 20872736 29898784 32536912 34570469 65073824 69140938 138281876 276563752 553127504 1106255008