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11027360 = 255413
BaseRepresentation
bin101010000100…
…001110100000
3202202020200202
4222010032200
510310333420
61032204332
7162505511
oct52041640
922666622
1011027360
116252023
1238396a8
132391386
141670a08
15e7c575
hexa843a0

11027360 has 48 divisors (see below), whose sum is σ = 26703432. Its totient is φ = 4303360.

The previous prime is 11027333. The next prime is 11027363. The reversal of 11027360 is 6372011.

It is a happy number.

11027360 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 10837264 = 436^2 + 3292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268940 + ... + 268980.

Almost surely, 211027360 is an apocalyptic number.

11027360 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 11027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351716).

11027360 is an abundant number, since it is smaller than the sum of its proper divisors (15676072).

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

11027360 is an frugal number, since it uses more digits than its factorization.

11027360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 11027360 is about 3320.7469039359. The cubic root of 11027360 is about 222.5822445608.

11027360 divided by its sum of digits (20) gives a cube (551368 = 823).

Adding to 11027360 its reverse (6372011), we get a palindrome (17399371).

The spelling of 11027360 in words is "eleven million, twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 1681 3280 3362 6560 6724 8405 13448 16810 26896 33620 53792 67240 68921 134480 137842 268960 275684 344605 551368 689210 1102736 1378420 2205472 2756840 5513680 11027360