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11323872 = 2532741137
BaseRepresentation
bin101011001100…
…100111100000
3210022022102200
4223030213200
510344330442
61042413200
7165152130
oct53144740
923268380
1011323872
11643487a
123961200
132466321
14170aac0
15eda34c
hexacc9e0

11323872 has 144 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 3133440.

The previous prime is 11323789. The next prime is 11323883. The reversal of 11323872 is 27832311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82588 + ... + 82724.

It is an arithmetic number, because the mean of its divisors is an integer number (263718).

Almost surely, 211323872 is an apocalyptic number.

11323872 is a gapful number since it is divisible by the number (12) 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 11323872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987696).

11323872 is an abundant number, since it is smaller than the sum of its proper divisors (26651520).

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

11323872 is a wasteful number, since it uses less digits than its factorization.

11323872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

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

The square root of 11323872 is about 3365.0961353281. The cubic root of 11323872 is about 224.5596126765.

The spelling of 11323872 in words is "eleven million, three hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 137 144 164 168 224 246 252 274 287 288 328 336 369 411 492 504 548 574 656 672 738 822 861 959 984 1008 1096 1148 1233 1312 1476 1644 1722 1918 1968 2016 2192 2296 2466 2583 2877 2952 3288 3444 3836 3936 4384 4592 4932 5166 5617 5754 5904 6576 6888 7672 8631 9184 9864 10332 11234 11508 11808 13152 13776 15344 16851 17262 19728 20664 22468 23016 27552 30688 33702 34524 39319 39456 41328 44936 46032 50553 67404 69048 78638 82656 89872 92064 101106 117957 134808 138096 157276 179744 202212 235914 269616 276192 314552 353871 404424 471828 539232 629104 707742 808848 943656 1258208 1415484 1617696 1887312 2830968 3774624 5661936 11323872