Search a number
-
+
11189112 = 2331123853
BaseRepresentation
bin101010101011…
…101101111000
3210001110120120
4222223231320
510331022422
61035453240
7164051214
oct52535570
923043516
1011189112
116352600
1238b7220
132419b9c
1416b3944
15eb045c
hexaabb78

11189112 has 48 divisors (see below), whose sum is σ = 30754920. Its totient is φ = 3389760.

The previous prime is 11189093. The next prime is 11189117. The reversal of 11189112 is 21198111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978 + ... + 4830.

Almost surely, 211189112 is an apocalyptic number.

11189112 is a gapful number since it is divisible by the number (12) 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 11189112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377460).

11189112 is an abundant number, since it is smaller than the sum of its proper divisors (19565808).

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

11189112 is a wasteful number, since it uses less digits than its factorization.

11189112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3869 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

The square root of 11189112 is about 3345.0130044590. The cubic root of 11189112 is about 223.6652632120.

The spelling of 11189112 in words is "eleven million, one hundred eighty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3853 7706 11559 15412 23118 30824 42383 46236 84766 92472 127149 169532 254298 339064 466213 508596 932426 1017192 1398639 1864852 2797278 3729704 5594556 11189112