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11323728 = 24321323263
BaseRepresentation
bin101011001100…
…100101010000
3210022022020100
4223030211100
510344324403
61042412400
7165151533
oct53144520
923268210
1011323728
116434759
123961100
132466240
14170aa1a
15eda2a3
hexacc950

11323728 has 120 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 3320064.

The previous prime is 11323727. The next prime is 11323729. The reversal of 11323728 is 82732311.

It is an interprime number because it is at equal distance from previous prime (11323727) and next prime (11323729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42925 + ... + 43187.

Almost surely, 211323728 is an apocalyptic number.

11323728 is a gapful number since it is divisible by the number (18) 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 11323728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

11323728 is an abundant number, since it is smaller than the sum of its proper divisors (24423984).

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

11323728 is a wasteful number, since it uses less digits than its factorization.

11323728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11323728 is about 3365.0747391403. The cubic root of 11323728 is about 224.5586608018.

The spelling of 11323728 in words is "eleven million, three hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 263 276 299 312 368 414 468 526 552 598 624 789 828 897 936 1052 1104 1196 1578 1656 1794 1872 2104 2367 2392 2691 3156 3312 3419 3588 4208 4734 4784 5382 6049 6312 6838 7176 9468 10257 10764 12098 12624 13676 14352 18147 18936 20514 21528 24196 27352 30771 36294 37872 41028 43056 48392 54441 54704 61542 72588 78637 82056 96784 108882 123084 145176 157274 164112 217764 235911 246168 290352 314548 435528 471822 492336 629096 707733 871056 943644 1258192 1415466 1887288 2830932 3774576 5661864 11323728