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11084112 = 24321331191
BaseRepresentation
bin101010010010…
…000101010000
3202212010112200
4222102011100
510314142422
61033323200
7163133124
oct52220520
922763480
1011084112
116290726
123866500
1323b1160
141687584
15e8e2ac
hexa92150

11084112 has 120 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 3283200.

The previous prime is 11084107. The next prime is 11084123. The reversal of 11084112 is 21148011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57937 + ... + 58127.

Almost surely, 211084112 is an apocalyptic number.

11084112 is a gapful number since it is divisible by the number (12) 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 11084112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

11084112 is an abundant number, since it is smaller than the sum of its proper divisors (23580336).

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

11084112 is a wasteful number, since it uses less digits than its factorization.

11084112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11084112 is about 3329.2810034601. The cubic root of 11084112 is about 222.9634291548.

The spelling of 11084112 in words is "eleven million, eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 191 208 234 248 279 312 372 382 403 468 496 558 573 624 744 764 806 936 1116 1146 1209 1488 1528 1612 1719 1872 2232 2292 2418 2483 3056 3224 3438 3627 4464 4584 4836 4966 5921 6448 6876 7254 7449 9168 9672 9932 11842 13752 14508 14898 17763 19344 19864 22347 23684 27504 29016 29796 35526 39728 44694 47368 53289 58032 59592 71052 76973 89388 94736 106578 119184 142104 153946 178776 213156 230919 284208 307892 357552 426312 461838 615784 692757 852624 923676 1231568 1385514 1847352 2771028 3694704 5542056 11084112