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11230560 = 2532511709
BaseRepresentation
bin101010110101…
…110101100000
3210010120102200
4222311311200
510333334220
61040413200
7164313105
oct52656540
923116380
1011230560
116380760
123917200
132432a03
1416c4aac
15ebc890
hexab5d60

11230560 has 144 divisors (see below), whose sum is σ = 41867280. Its totient is φ = 2718720.

The previous prime is 11230559. The next prime is 11230589. The reversal of 11230560 is 6503211.

11230560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112305602 = 252250955827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15486 + ... + 16194.

It is an arithmetic number, because the mean of its divisors is an integer number (290745).

Almost surely, 211230560 is an apocalyptic number.

11230560 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 11230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933640).

11230560 is an abundant number, since it is smaller than the sum of its proper divisors (30636720).

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

11230560 is a wasteful number, since it uses less digits than its factorization.

11230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11230560 is about 3351.2027691562. The cubic root of 11230560 is about 223.9410984586.

Adding to 11230560 its reverse (6503211), we get a palindrome (17733771).

The spelling of 11230560 in words is "eleven million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 709 720 792 880 990 1056 1320 1418 1440 1584 1760 1980 2127 2640 2836 3168 3545 3960 4254 5280 5672 6381 7090 7799 7920 8508 10635 11344 12762 14180 15598 15840 17016 21270 22688 23397 25524 28360 31196 31905 34032 38995 42540 46794 51048 56720 62392 63810 68064 70191 77990 85080 93588 102096 113440 116985 124784 127620 140382 155980 170160 187176 204192 233970 249568 255240 280764 311960 340320 350955 374352 467940 510480 561528 623920 701910 748704 935880 1020960 1123056 1247840 1403820 1871760 2246112 2807640 3743520 5615280 11230560