Search a number
-
+
11187040 = 255292411
BaseRepresentation
bin101010101011…
…001101100000
3210001100201211
4222223031200
510330441130
61035435504
7164042164
oct52531540
923040654
1011187040
116350a97
1238b5b94
132418c67
1416b2ca4
15eaea2a
hexaab360

11187040 has 48 divisors (see below), whose sum is σ = 27352080. Its totient is φ = 4318720.

The previous prime is 11187023. The next prime is 11187041. The reversal of 11187040 is 4078111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 5845.

It is an arithmetic number, because the mean of its divisors is an integer number (569835).

Almost surely, 211187040 is an apocalyptic number.

11187040 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 11187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676040).

11187040 is an abundant number, since it is smaller than the sum of its proper divisors (16165040).

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

11187040 is a wasteful number, since it uses less digits than its factorization.

11187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 11187040 is about 3344.7032753295. The cubic root of 11187040 is about 223.6514562469.

The spelling of 11187040 in words is "eleven million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 2411 4640 4822 9644 12055 19288 24110 38576 48220 69919 77152 96440 139838 192880 279676 349595 385760 559352 699190 1118704 1398380 2237408 2796760 5593520 11187040