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11131340 = 22511192663
BaseRepresentation
bin101010011101…
…100111001100
3202221112022212
4222131213030
510322200330
61034325552
7163420613
oct52354714
922845285
1011131340
116313160
1238898b8
1323c97bc
14169a87a
15e9d295
hexa9d9cc

11131340 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 3833280.

The previous prime is 11131327. The next prime is 11131349. The reversal of 11131340 is 4313111.

It is not an unprimeable number, because it can be changed into a prime (11131349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2849 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 211131340 is an apocalyptic number.

11131340 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 11131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

11131340 is an abundant number, since it is smaller than the sum of its proper divisors (15721780).

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

11131340 is a wasteful number, since it uses less digits than its factorization.

11131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11131340 is about 3336.3662868456. The cubic root of 11131340 is about 223.2796534436.

Adding to 11131340 its reverse (4313111), we get a palindrome (15444451).

The spelling of 11131340 in words is "eleven million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2663 4180 5326 10652 13315 26630 29293 50597 53260 58586 101194 117172 146465 202388 252985 292930 505970 556567 585860 1011940 1113134 2226268 2782835 5565670 11131340