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11204388 = 22321389269
BaseRepresentation
bin101010101111…
…011100100100
3210002020112100
4222233130210
510332020023
61040052100
7164143566
oct52573444
923066470
1011204388
116363028
123904030
132423b20
1416b9336
15eb4c43
hexaaf724

11204388 has 72 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 3396096.

The previous prime is 11204383. The next prime is 11204393. The reversal of 11204388 is 88340211.

It is an interprime number because it is at equal distance from previous prime (11204383) and next prime (11204393).

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 10614564 = 768^2 + 3258^2 .

It is not an unprimeable number, because it can be changed into a prime (11204383) 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 23 ways as a sum of consecutive naturals, for example, 41518 + ... + 41786.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 211204388 is an apocalyptic number.

11204388 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 11204388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

11204388 is an abundant number, since it is smaller than the sum of its proper divisors (19753812).

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

11204388 is a wasteful number, since it uses less digits than its factorization.

11204388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11204388 is about 3347.2956248291. The cubic root of 11204388 is about 223.7670036910.

Adding to 11204388 its reverse (88340211), we get a palindrome (99544599).

The spelling of 11204388 in words is "eleven million, two hundred four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 269 356 468 534 538 801 807 1068 1076 1157 1602 1614 2314 2421 3204 3228 3471 3497 4628 4842 6942 6994 9684 10413 10491 13884 13988 20826 20982 23941 31473 41652 41964 47882 62946 71823 95764 125892 143646 215469 287292 311233 430938 622466 861876 933699 1244932 1867398 2801097 3734796 5602194 11204388