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1106560056 = 2337171632377
BaseRepresentation
bin100000111110100…
…1100010000111000
32212010012002000210
41001331030100320
54231234410211
6301445231120
736264414420
oct10175142070
92763162023
101106560056
11518695a48
1226a7024a0
13148339884
14a6d69480
156722e9a6
hex41f4c438

1106560056 has 128 divisors (see below), whose sum is σ = 3369530880. Its totient is φ = 295612416.

The previous prime is 1106560033. The next prime is 1106560079. The reversal of 1106560056 is 6500656011.

It is an interprime number because it is at equal distance from previous prime (1106560033) and next prime (1106560079).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464340 + ... + 466716.

It is an arithmetic number, because the mean of its divisors is an integer number (26324460).

Almost surely, 21106560056 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 1106560056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684765440).

1106560056 is an abundant number, since it is smaller than the sum of its proper divisors (2262970824).

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

1106560056 is a wasteful number, since it uses less digits than its factorization.

1106560056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1106560056 is about 33264.9974597925. The cubic root of 1106560056 is about 1034.3281148885.

It can be divided in two parts, 110656005 and 6, that added together give a palindrome (110656011).

The spelling of 1106560056 in words is "one billion, one hundred six million, five hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 163 168 204 238 326 357 408 476 489 652 714 952 978 1141 1304 1428 1956 2282 2377 2771 2856 3423 3912 4564 4754 5542 6846 7131 8313 9128 9508 11084 13692 14262 16626 16639 19016 19397 22168 27384 28524 33252 33278 38794 40409 49917 57048 58191 66504 66556 77588 80818 99834 116382 121227 133112 155176 161636 199668 232764 242454 282863 323272 387451 399336 465528 484908 565726 774902 848589 969816 1131452 1162353 1549804 1697178 2262904 2324706 2712157 3099608 3394356 4649412 5424314 6586667 6788712 8136471 9298824 10848628 13173334 16272942 19760001 21697256 26346668 32545884 39520002 46106669 52693336 65091768 79040004 92213338 138320007 158080008 184426676 276640014 368853352 553280028 1106560056