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11540 = 225577
BaseRepresentation
bin10110100010100
3120211102
42310110
5332130
6125232
745434
oct26424
916742
1011540
118741
126818
135339
1442c4
153645
hex2d14

11540 has 12 divisors (see below), whose sum is σ = 24276. Its totient is φ = 4608.

The previous prime is 11527. The next prime is 11549. The reversal of 11540 is 4511.

11540 = T59 + T60 + ... + T64.

11540 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 2704 = 94^2 + 52^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (2023).

211540 is an apocalyptic number.

11540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540 is an abundant number, since it is smaller than the sum of its proper divisors (12736).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138).

11540 is a wasteful number, since it uses less digits than its factorization.

11540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 11540 is about 107.4243920160. The cubic root of 11540 is about 22.5979270817.

The spelling of 11540 in words is "eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540