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11324664 = 23331337109
BaseRepresentation
bin101011001100…
…110011111000
3210022100112000
4223030303320
510344342124
61042421000
7165154341
oct53146370
923270460
1011324664
11643542a
123961760
1324667b0
14170b0c8
15eda6c9
hexacccf8

11324664 has 128 divisors (see below), whose sum is σ = 35112000. Its totient is φ = 3359232.

The previous prime is 11324659. The next prime is 11324693. The reversal of 11324664 is 46642311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103842 + ... + 103950.

Almost surely, 211324664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556000).

11324664 is an abundant number, since it is smaller than the sum of its proper divisors (23787336).

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

11324664 is a wasteful number, since it uses less digits than its factorization.

11324664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 11324664 is about 3365.2138119293. The cubic root of 11324664 is about 224.5648478430.

Adding to 11324664 its reverse (46642311), we get a palindrome (57966975).

The spelling of 11324664 in words is "eleven million, three hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 109 111 117 148 156 216 218 222 234 296 312 327 333 351 436 444 468 481 654 666 702 872 888 936 962 981 999 1308 1332 1404 1417 1443 1924 1962 1998 2616 2664 2808 2834 2886 2943 3848 3924 3996 4033 4251 4329 5668 5772 5886 7848 7992 8066 8502 8658 11336 11544 11772 12099 12753 12987 16132 17004 17316 23544 24198 25506 25974 32264 34008 34632 36297 38259 48396 51012 51948 52429 72594 76518 96792 102024 103896 104858 108891 145188 153036 157287 209716 217782 290376 306072 314574 419432 435564 471861 629148 871128 943722 1258296 1415583 1887444 2831166 3774888 5662332 11324664