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11050240 = 2858997
BaseRepresentation
bin101010001001…
…110100000000
3202210102002011
4222021310000
510312101430
61032502304
7162632305
oct52116400
922712064
1011050240
116268233
12384a994
13239b906
1416790ac
15e8422a
hexa89d00

11050240 has 72 divisors (see below), whose sum is σ = 27042120. Its totient is φ = 4325376.

The previous prime is 11050219. The next prime is 11050241. The reversal of 11050240 is 4205011.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 10863616 = 432^2 + 3296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11050240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11050241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113872 + ... + 113968.

It is an arithmetic number, because the mean of its divisors is an integer number (375585).

Almost surely, 211050240 is an apocalyptic number.

11050240 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 11050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521060).

11050240 is an abundant number, since it is smaller than the sum of its proper divisors (15991880).

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

11050240 is an frugal number, since it uses more digits than its factorization.

11050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11050240 is about 3324.1901269332. The cubic root of 11050240 is about 222.7360790127.

Adding to 11050240 its reverse (4205011), we get a palindrome (15255251).

The spelling of 11050240 in words is "eleven million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 97 128 160 178 194 256 320 356 388 445 485 640 712 776 890 970 1280 1424 1552 1780 1940 2848 3104 3560 3880 5696 6208 7120 7760 8633 11392 12416 14240 15520 17266 22784 24832 28480 31040 34532 43165 56960 62080 69064 86330 113920 124160 138128 172660 276256 345320 552512 690640 1105024 1381280 2210048 2762560 5525120 11050240