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11040 = 253523

11040 has 48 divisors (see below), whose sum is σ = 36288. Its totient is φ = 2816.

The previous prime is 11027. The next prime is 11047. The reversal of 11040 is 4011.

Adding to 11040 its reverse (4011), we get a palindrome (15051).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11047) by changing a digit.

11040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

211040 is an apocalyptic number.

11040 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 11040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

11040 is an abundant number, since it is smaller than the sum of its proper divisors (25248).

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

11040 is a wasteful number, since it uses less digits than its factorization.

11040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11040 is about 105.0714042925. The cubic root of 11040 is about 22.2667256304.

The spelling of 11040 in words is "eleven thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040