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11323320 = 2335127743
BaseRepresentation
bin101011001100…
…011110111000
3210022021200020
4223030132320
510344321240
61042410440
7165150411
oct53143670
923267606
1011323320
116434418
123960a20
132465cb8
14170a808
15eda0d0
hexacc7b8

11323320 has 64 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2991744.

The previous prime is 11323313. The next prime is 11323321. The reversal of 11323320 is 2332311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11323320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14869 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 211323320 is an apocalyptic number.

11323320 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 11323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

11323320 is an abundant number, since it is smaller than the sum of its proper divisors (22960200).

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

11323320 is a wasteful number, since it uses less digits than its factorization.

11323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 11323320 is about 3365.0141158694. The cubic root of 11323320 is about 224.5559637797. Note that the first 3 decimals are identical.

Adding to 11323320 its reverse (2332311), we get a palindrome (13655631).

The spelling of 11323320 in words is "eleven million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 743 762 1016 1270 1486 1524 1905 2229 2540 2972 3048 3715 3810 4458 5080 5944 7430 7620 8916 11145 14860 15240 17832 22290 29720 44580 89160 94361 188722 283083 377444 471805 566166 754888 943610 1132332 1415415 1887220 2264664 2830830 3774440 5661660 11323320