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11089344 = 263737223
BaseRepresentation
bin101010010011…
…010111000000
3202212101201110
4222103113000
510314324334
61033403320
7163154310
oct52232700
922771643
1011089344
116294652
123869540
1323b3656
141689440
15e90ae9
hexa935c0

11089344 has 112 divisors (see below), whose sum is σ = 34592768. Its totient is φ = 3068928.

The previous prime is 11089319. The next prime is 11089367. The reversal of 11089344 is 44398011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49617 + ... + 49839.

It is an arithmetic number, because the mean of its divisors is an integer number (308864).

Almost surely, 211089344 is an apocalyptic number.

11089344 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 11089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296384).

11089344 is an abundant number, since it is smaller than the sum of its proper divisors (23503424).

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

11089344 is a wasteful number, since it uses less digits than its factorization.

11089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11089344 is about 3330.0666659993. The cubic root of 11089344 is about 222.9985052217.

The spelling of 11089344 in words is "eleven million, eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 223 224 259 296 336 444 446 448 518 592 669 672 777 888 892 1036 1184 1338 1344 1554 1561 1776 1784 2072 2368 2676 3108 3122 3552 3568 4144 4683 5352 6216 6244 7104 7136 8251 8288 9366 10704 12432 12488 14272 16502 16576 18732 21408 24753 24864 24976 33004 37464 42816 49506 49728 49952 57757 66008 74928 99012 99904 115514 132016 149856 173271 198024 231028 264032 299712 346542 396048 462056 528064 693084 792096 924112 1386168 1584192 1848224 2772336 3696448 5544672 11089344