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11414844 = 223472719
BaseRepresentation
bin101011100010…
…110100111100
3210110221020000
4223202310330
510410233334
61044354300
7166011300
oct53426474
923427200
1011414844
116497161
1239a5990
13249885c
141731d00
151007299
hexae2d3c

11414844 has 90 divisors (see below), whose sum is σ = 34760880. Its totient is φ = 3256848.

The previous prime is 11414827. The next prime is 11414849. The reversal of 11414844 is 44841411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15517 + ... + 16235.

It is an arithmetic number, because the mean of its divisors is an integer number (386232).

Almost surely, 211414844 is an apocalyptic number.

11414844 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 11414844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380440).

11414844 is an abundant number, since it is smaller than the sum of its proper divisors (23346036).

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

11414844 is a wasteful number, since it uses less digits than its factorization.

11414844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 731 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 11414844 is about 3378.5860948036. The cubic root of 11414844 is about 225.1593537795.

The spelling of 11414844 in words is "eleven million, four hundred fourteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 719 756 882 1134 1323 1438 1764 2157 2268 2646 2876 3969 4314 5033 5292 6471 7938 8628 10066 12942 15099 15876 19413 20132 25884 30198 35231 38826 45297 58239 60396 70462 77652 90594 105693 116478 135891 140924 181188 211386 232956 271782 317079 407673 422772 543564 634158 815346 951237 1268316 1630692 1902474 2853711 3804948 5707422 11414844