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11023320 = 23357111193
BaseRepresentation
bin101010000011…
…001111011000
3202202001011010
4222003033120
510310221240
61032133520
7162460650
oct52031730
922661133
1011023320
116249a90
1238372a0
13238c599
14166d360
15e7b280
hexa833d8

11023320 has 128 divisors (see below), whose sum is σ = 41264640. Its totient is φ = 2288640.

The previous prime is 11023291. The next prime is 11023339. The reversal of 11023320 is 2332011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 11023296 and 11023305.

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 31 ways as a sum of consecutive naturals, for example, 8644 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (322380).

Almost surely, 211023320 is an apocalyptic number.

11023320 is a gapful number since it is divisible by the number (10) 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 11023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632320).

11023320 is an abundant number, since it is smaller than the sum of its proper divisors (30241320).

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

11023320 is a wasteful number, since it uses less digits than its factorization.

11023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11023320 is about 3320.1385513258. The cubic root of 11023320 is about 222.5550593867. Note that the first 3 decimals are identical.

Adding to 11023320 its reverse (2332011), we get a palindrome (13355331).

The spelling of 11023320 in words is "eleven million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1193 1320 1540 1848 2310 2386 3080 3579 4620 4772 5965 7158 8351 9240 9544 11930 13123 14316 16702 17895 23860 25053 26246 28632 33404 35790 39369 41755 47720 50106 52492 65615 66808 71580 78738 83510 91861 100212 104984 125265 131230 143160 157476 167020 183722 196845 200424 250530 262460 275583 314952 334040 367444 393690 459305 501060 524920 551166 734888 787380 918610 1002120 1102332 1377915 1574760 1837220 2204664 2755830 3674440 5511660 11023320