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11332260 = 22325157401
BaseRepresentation
bin101011001110…
…101010100100
3210022201221100
4223032222210
510400113020
61042520100
7165215442
oct53165244
923281840
1011332260
116440105
123966030
13246a0a4
14170db92
15edca90
hexaceaa4

11332260 has 72 divisors (see below), whose sum is σ = 34679736. Its totient is φ = 2995200.

The previous prime is 11332247. The next prime is 11332297. The reversal of 11332260 is 6223311.

11332260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 8156736 = 1782^2 + 2856^2 .

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

It is a nialpdrome in base 15.

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, 28060 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (481663).

Almost surely, 211332260 is an apocalyptic number.

11332260 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 11332260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339868).

11332260 is an abundant number, since it is smaller than the sum of its proper divisors (23347476).

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

11332260 is a wasteful number, since it uses less digits than its factorization.

11332260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 11332260 is about 3366.3422285917. The cubic root of 11332260 is about 224.6150454571.

Adding to 11332260 its reverse (6223311), we get a palindrome (17555571).

The spelling of 11332260 in words is "eleven million, three hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 401 471 628 785 802 942 1203 1413 1570 1604 1884 2005 2355 2406 2826 3140 3609 4010 4710 4812 5652 6015 7065 7218 8020 9420 12030 14130 14436 18045 24060 28260 36090 62957 72180 125914 188871 251828 314785 377742 566613 629570 755484 944355 1133226 1259140 1888710 2266452 2833065 3777420 5666130 11332260