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11108664 = 233473179
BaseRepresentation
bin101010011000…
…000100111000
3202220101020000
4222120010320
510320434124
61034033000
7163264530
oct52300470
922811200
1011108664
1162a8116
123878760
1323bc398
1416924c0
15e966c9
hexa98138

11108664 has 160 divisors (see below), whose sum is σ = 37171200. Its totient is φ = 3032640.

The previous prime is 11108659. The next prime is 11108681. The reversal of 11108664 is 46680111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140577 + ... + 140655.

It is an arithmetic number, because the mean of its divisors is an integer number (232320).

Almost surely, 211108664 is an apocalyptic number.

11108664 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 11108664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18585600).

11108664 is an abundant number, since it is smaller than the sum of its proper divisors (26062536).

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

11108664 is a wasteful number, since it uses less digits than its factorization.

11108664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11108664 is about 3332.9662464538. The cubic root of 11108664 is about 223.1279337232.

Adding to 11108664 its reverse (46680111), we get a palindrome (57788775).

The spelling of 11108664 in words is "eleven million, one hundred eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 79 81 84 93 108 124 126 158 162 168 186 189 216 217 237 248 252 279 316 324 372 378 434 474 504 553 558 567 632 648 651 711 744 756 837 868 948 1106 1116 1134 1302 1422 1512 1659 1674 1736 1896 1953 2133 2212 2232 2268 2449 2511 2604 2844 3318 3348 3906 4266 4424 4536 4898 4977 5022 5208 5688 5859 6399 6636 6696 7347 7812 8532 9796 9954 10044 11718 12798 13272 14694 14931 15624 17064 17143 17577 19592 19908 20088 22041 23436 25596 29388 29862 34286 35154 39816 44082 44793 46872 51192 51429 58776 59724 66123 68572 70308 88164 89586 102858 119448 132246 137144 140616 154287 176328 179172 198369 205716 264492 308574 358344 396738 411432 462861 528984 617148 793476 925722 1234296 1388583 1586952 1851444 2777166 3702888 5554332 11108664