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11160 = 2332531
BaseRepresentation
bin10101110011000
3120022100
42232120
5324120
6123400
744352
oct25630
916270
1011160
118426
126560
135106
1440d2
153490
hex2b98

11160 has 48 divisors (see below), whose sum is σ = 37440. Its totient is φ = 2880.

The previous prime is 11159. The next prime is 11161. The reversal of 11160 is 6111.

11160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11159) and next prime (11161).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

211160 is an apocalyptic number.

11160 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 11160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

11160 is an abundant number, since it is smaller than the sum of its proper divisors (26280).

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

11160 is a wasteful number, since it uses less digits than its factorization.

11160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11160 is about 105.6409011700. The cubic root of 11160 is about 22.3471116187.

Adding to 11160 its reverse (6111), we get a palindrome (17271).

It can be divided in two parts, 111 and 60, that added together give a palindrome (171).

The spelling of 11160 in words is "eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160