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11232320 = 265113191
BaseRepresentation
bin101010110110…
…010001000000
3210010122211212
4222312101000
510333413240
61040425252
7164321201
oct52662100
923118755
1011232320
116382010
123918228
132433758
1416c55a8
15ebd165
hexab6440

11232320 has 56 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 4083200.

The previous prime is 11232301. The next prime is 11232329. The reversal of 11232320 is 2323211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11232295 and 11232304.

It is not an unprimeable number, because it can be changed into a prime (11232329) 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, 1925 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 211232320 is an apocalyptic number.

11232320 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 11232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

11232320 is an abundant number, since it is smaller than the sum of its proper divisors (17955328).

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

11232320 is a wasteful number, since it uses less digits than its factorization.

11232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11232320 is about 3351.4653511561. The cubic root of 11232320 is about 223.9527961758.

Adding to 11232320 its reverse (2323211), we get a palindrome (13555531).

It can be divided in two parts, 1123 and 2320, that added together give a palindrome (3443).

The spelling of 11232320 in words is "eleven million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3191 3520 6382 12764 15955 25528 31910 35101 51056 63820 70202 102112 127640 140404 175505 204224 255280 280808 351010 510560 561616 702020 1021120 1123232 1404040 2246464 2808080 5616160 11232320