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11441640 = 2335753257
BaseRepresentation
bin101011101001…
…010111101000
3210112021222110
4223221113220
510412113030
61045122320
7166152360
oct53512750
923467873
1011441640
116505301
1239b93a0
1324a7b02
14173b9a0
1510101b0
hexae95e8

11441640 has 128 divisors (see below), whose sum is σ = 40124160. Its totient is φ = 2555904.

The previous prime is 11441627. The next prime is 11441641. The reversal of 11441640 is 4614411.

It is a super-2 number, since 2×114416402 = 261822251779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11441641) 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 31 ways as a sum of consecutive naturals, for example, 44392 + ... + 44648.

It is an arithmetic number, because the mean of its divisors is an integer number (313470).

Almost surely, 211441640 is an apocalyptic number.

11441640 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 11441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062080).

11441640 is an abundant number, since it is smaller than the sum of its proper divisors (28682520).

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

11441640 is a wasteful number, since it uses less digits than its factorization.

11441640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11441640 is about 3382.5493344518. The cubic root of 11441640 is about 225.3354010135.

The spelling of 11441640 in words is "eleven million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 257 265 280 318 371 420 424 514 530 636 742 771 795 840 1028 1060 1113 1272 1285 1484 1542 1590 1799 1855 2056 2120 2226 2570 2968 3084 3180 3598 3710 3855 4452 5140 5397 5565 6168 6360 7196 7420 7710 8904 8995 10280 10794 11130 13621 14392 14840 15420 17990 21588 22260 26985 27242 30840 35980 40863 43176 44520 53970 54484 68105 71960 81726 95347 107940 108968 136210 163452 190694 204315 215880 272420 286041 326904 381388 408630 476735 544840 572082 762776 817260 953470 1144164 1430205 1634520 1906940 2288328 2860410 3813880 5720820 11441640