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11066320 = 2451779103
BaseRepresentation
bin101010001101…
…101111010000
3202211020010201
4222031233100
510313110240
61033104544
7163030216
oct52155720
922736121
1011066320
116279321
123858154
1323a6025
141680cb6
15e88d9a
hexa8dbd0

11066320 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 4073472.

The previous prime is 11066309. The next prime is 11066329. The reversal of 11066320 is 2366011.

11066320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107389 + ... + 107491.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 211066320 is an apocalyptic number.

11066320 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 11066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

11066320 is an abundant number, since it is smaller than the sum of its proper divisors (16789040).

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

11066320 is a wasteful number, since it uses less digits than its factorization.

11066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 11066320 is about 3326.6078819121. The cubic root of 11066320 is about 222.8440664191.

It can be divided in two parts, 110 and 66320, that added together give a triangular number (66430 = T364).

The spelling of 11066320 in words is "eleven million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 103 136 158 170 206 272 316 340 395 412 515 632 680 790 824 1030 1264 1343 1360 1580 1648 1751 2060 2686 3160 3502 4120 5372 6320 6715 7004 8137 8240 8755 10744 13430 14008 16274 17510 21488 26860 28016 32548 35020 40685 53720 65096 70040 81370 107440 130192 138329 140080 162740 276658 325480 553316 650960 691645 1106632 1383290 2213264 2766580 5533160 11066320