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11130 = 235753
BaseRepresentation
bin10101101111010
3120021020
42231322
5324010
6123310
744310
oct25572
916236
1011130
1183a9
126536
1350b2
1440b0
153470
hex2b7a

11130 has 32 divisors (see below), whose sum is σ = 31104. Its totient is φ = 2496.

The previous prime is 11119. The next prime is 11131. The reversal of 11130 is 3111.

Adding to 11130 its reverse (3111), we get a palindrome (14241).

It can be divided in two parts, 111 and 30, that added together give a palindrome (141).

11130 is nontrivially palindromic in base 4.

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

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (11131) by changing a digit.

11130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

211130 is an apocalyptic number.

11130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 105×106.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

11130 is an abundant number, since it is smaller than the sum of its proper divisors (19974).

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

11130 is a wasteful number, since it uses less digits than its factorization.

11130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11130 is about 105.4988151592. The cubic root of 11130 is about 22.3270693554.

The spelling of 11130 in words is "eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130