Search a number
-
+
11090560 = 275133143
BaseRepresentation
bin101010010011…
…101010000000
3202212110101111
4222103222000
510314344220
61033413104
7163160665
oct52235200
922773344
1011090560
116295558
12386a194
1323b4080
141689a6c
15e9115a
hexa93a80

11090560 has 128 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 3870720.

The previous prime is 11090503. The next prime is 11090609. The reversal of 11090560 is 6509011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×110905602 = 246001042227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257899 + ... + 257941.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 211090560 is an apocalyptic number.

11090560 is a gapful number since it is divisible by the number (10) 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 11090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

11090560 is an abundant number, since it is smaller than the sum of its proper divisors (19068800).

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

11090560 is a wasteful number, since it uses less digits than its factorization.

11090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 11090560 is about 3330.2492399218. The cubic root of 11090560 is about 223.0066558773.

Adding to 11090560 its reverse (6509011), we get a palindrome (17599571).

The spelling of 11090560 in words is "eleven million, ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 43 52 62 64 65 80 86 104 124 128 130 155 160 172 208 215 248 260 310 320 344 403 416 430 496 520 559 620 640 688 806 832 860 992 1040 1118 1240 1333 1376 1612 1664 1720 1984 2015 2080 2236 2480 2666 2752 2795 3224 3440 3968 4030 4160 4472 4960 5332 5504 5590 6448 6665 6880 8060 8320 8944 9920 10664 11180 12896 13330 13760 16120 17329 17888 19840 21328 22360 25792 26660 27520 32240 34658 35776 42656 44720 51584 53320 64480 69316 71552 85312 86645 89440 106640 128960 138632 170624 173290 178880 213280 257920 277264 346580 357760 426560 554528 693160 853120 1109056 1386320 2218112 2772640 5545280 11090560