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11083380 = 22357112399
BaseRepresentation
bin101010010001…
…111001110100
3202212002112120
4222101321310
510314132010
61033315540
7163131030
oct52217164
922762476
1011083380
116290120
123865bb0
1323b0a19
1416871c0
15e8de70
hexa91e74

11083380 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2302080.

The previous prime is 11083361. The next prime is 11083409. The reversal of 11083380 is 8338011.

11083380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11083380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421 + ... + 5819.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 211083380 is an apocalyptic number.

11083380 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 11083380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11083380 is an abundant number, since it is smaller than the sum of its proper divisors (27623820).

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

11083380 is a wasteful number, since it uses less digits than its factorization.

11083380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11083380 is about 3329.1710679988. The cubic root of 11083380 is about 222.9585208433.

The spelling of 11083380 in words is "eleven million, eighty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2399 4620 4798 7197 9596 11995 14394 16793 23990 26389 28788 33586 35985 47980 50379 52778 67172 71970 79167 83965 100758 105556 131945 143940 158334 167930 184723 201516 251895 263890 316668 335860 369446 395835 503790 527780 554169 738892 791670 923615 1007580 1108338 1583340 1847230 2216676 2770845 3694460 5541690 11083380