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11287240 = 2352691049
BaseRepresentation
bin101011000011…
…101011001000
3210020110011221
4223003223020
510342142430
61041531424
7164640256
oct53035310
923213157
1011287240
11640a2a8
123943b74
132452753
1416db5d6
15ece57a
hexac3ac8

11287240 has 32 divisors (see below), whose sum is σ = 25515000. Its totient is φ = 4493824.

The previous prime is 11287229. The next prime is 11287249. The reversal of 11287240 is 4278211.

11287240 = 862 + 872 + ... + 3252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8797156 + 2490084 = 2966^2 + 1578^2 .

It is not an unprimeable number, because it can be changed into a prime (11287249) 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, 10236 + ... + 11284.

Almost surely, 211287240 is an apocalyptic number.

11287240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11287240 is an abundant number, since it is smaller than the sum of its proper divisors (14227760).

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

11287240 is a wasteful number, since it uses less digits than its factorization.

11287240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 11287240 is about 3359.6487911685. The cubic root of 11287240 is about 224.3172057808.

The spelling of 11287240 in words is "eleven million, two hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 269 538 1049 1076 1345 2098 2152 2690 4196 5245 5380 8392 10490 10760 20980 41960 282181 564362 1128724 1410905 2257448 2821810 5643620 11287240