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11323280 = 245592399
BaseRepresentation
bin101011001100…
…011110010000
3210022021121202
4223030132100
510344321110
61042410332
7165150323
oct53143620
923267552
1011323280
116434391
1239609a8
132465c87
14170a7ba
15eda0a5
hexacc790

11323280 has 40 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 4450688.

The previous prime is 11323267. The next prime is 11323283. The reversal of 11323280 is 8232311.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (11323283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521 + ... + 5919.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 211323280 is an apocalyptic number.

11323280 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 11323280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

11323280 is an abundant number, since it is smaller than the sum of its proper divisors (15460720).

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

11323280 is a wasteful number, since it uses less digits than its factorization.

11323280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11323280 is about 3365.0081723526. The cubic root of 11323280 is about 224.5556993623. Note that the first 3 decimals are identical.

Adding to 11323280 its reverse (8232311), we get a palindrome (19555591).

The spelling of 11323280 in words is "eleven million, three hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 2399 4720 4798 9596 11995 19192 23990 38384 47980 95960 141541 191920 283082 566164 707705 1132328 1415410 2264656 2830820 5661640 11323280