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11041240 = 235747839
BaseRepresentation
bin101010000111…
…100111011000
3202202221201211
4222013213120
510311304430
61032352504
7162564130
oct52074730
922687654
1011041240
1162614a1
123845734
1323977a2
141675ac0
15e8172a
hexa879d8

11041240 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3700608.

The previous prime is 11041237. The next prime is 11041249. The reversal of 11041240 is 4214011.

11041240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11041240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12741 + ... + 13579.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 211041240 is an apocalyptic number.

11041240 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 11041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11041240 is an abundant number, since it is smaller than the sum of its proper divisors (17989160).

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

11041240 is a wasteful number, since it uses less digits than its factorization.

11041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11041240 is about 3322.8361380002. The cubic root of 11041240 is about 222.6755925681.

Adding to 11041240 its reverse (4214011), we get a palindrome (15255251).

The spelling of 11041240 in words is "eleven million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 839 940 1316 1645 1678 1880 2632 3290 3356 4195 5873 6580 6712 8390 11746 13160 16780 23492 29365 33560 39433 46984 58730 78866 117460 157732 197165 234920 276031 315464 394330 552062 788660 1104124 1380155 1577320 2208248 2760310 5520620 11041240