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11325384 = 2332723977
BaseRepresentation
bin101011001100…
…111111001000
3210022101111200
4223030333020
510344403014
61042424200
7165156420
oct53147710
923271450
1011325384
116435a24
123962060
132466c15
14170b480
15edaa09
hexaccfc8

11325384 has 96 divisors (see below), whose sum is σ = 36616320. Its totient is φ = 3091968.

The previous prime is 11325359. The next prime is 11325397. The reversal of 11325384 is 48352311.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11104 + ... + 12080.

It is an arithmetic number, because the mean of its divisors is an integer number (381420).

Almost surely, 211325384 is an apocalyptic number.

11325384 is a gapful number since it is divisible by the number (14) 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 11325384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308160).

11325384 is an abundant number, since it is smaller than the sum of its proper divisors (25290936).

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

11325384 is a wasteful number, since it uses less digits than its factorization.

11325384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11325384 is about 3365.3207870870. The cubic root of 11325384 is about 224.5696068735.

Adding to 11325384 its reverse (48352311), we get a palindrome (59677695).

The spelling of 11325384 in words is "eleven million, three hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 977 1288 1449 1656 1932 1954 2898 2931 3864 3908 5796 5862 6839 7816 8793 11592 11724 13678 17586 20517 22471 23448 27356 35172 41034 44942 54712 61551 67413 70344 82068 89884 123102 134826 157297 164136 179768 202239 246204 269652 314594 404478 471891 492408 539304 629188 808956 943782 1258376 1415673 1617912 1887564 2831346 3775128 5662692 11325384