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11411120 = 245724171
BaseRepresentation
bin101011100001…
…111010110000
3210110202010002
4223201322300
510410123440
61044325132
7165664400
oct53417260
923422102
1011411120
116494386
1239a37a8
132496c56
141730800
151006115
hexae1eb0

11411120 has 120 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3763200.

The previous prime is 11411119. The next prime is 11411137. The reversal of 11411120 is 2111411.

11411120 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11411120 is strictly pandigital in base 8.

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, 160685 + ... + 160755.

Almost surely, 211411120 is an apocalyptic number.

11411120 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 11411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

11411120 is an abundant number, since it is smaller than the sum of its proper divisors (20649328).

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

11411120 is a wasteful number, since it uses less digits than its factorization.

11411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11411120 is about 3378.0349317318. The cubic root of 11411120 is about 225.1348656470.

Adding to 11411120 its reverse (2111411), we get a palindrome (13522531).

The spelling of 11411120 in words is "eleven million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 71 80 82 98 112 140 142 164 196 205 245 280 284 287 328 355 392 410 490 497 560 568 574 656 710 784 820 980 994 1136 1148 1420 1435 1640 1960 1988 2009 2296 2485 2840 2870 2911 3280 3479 3920 3976 4018 4592 4970 5680 5740 5822 6958 7952 8036 9940 10045 11480 11644 13916 14555 16072 17395 19880 20090 20377 22960 23288 27832 29110 32144 34790 39760 40180 40754 46576 55664 58220 69580 80360 81508 101885 116440 139160 142639 160720 163016 203770 232880 278320 285278 326032 407540 570556 713195 815080 1141112 1426390 1630160 2282224 2852780 5705560 11411120