Search a number
-
+
11089000 = 235313853
BaseRepresentation
bin101010010011…
…010001101000
3202212101020201
4222103101220
510314322000
61033401544
7163153306
oct52232150
922771221
1011089000
11629436a
1238692b4
1323b3450
141689276
15e9096a
hexa93468

11089000 has 64 divisors (see below), whose sum is σ = 27977040. Its totient is φ = 4089600.

The previous prime is 11088997. The next prime is 11089009. The reversal of 11089000 is 98011.

It can be written as a sum of positive squares in 8 ways, for example, as 887364 + 10201636 = 942^2 + 3194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12574 + ... + 13426.

Almost surely, 211089000 is an apocalyptic number.

11089000 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 11089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988520).

11089000 is an abundant number, since it is smaller than the sum of its proper divisors (16888040).

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

11089000 is a wasteful number, since it uses less digits than its factorization.

11089000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 11089000 is about 3330.0150149812. The cubic root of 11089000 is about 222.9961993360.

The spelling of 11089000 in words is "eleven million, eighty-nine thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 853 1000 1300 1625 1706 2600 3250 3412 4265 6500 6824 8530 11089 13000 17060 21325 22178 34120 42650 44356 55445 85300 88712 106625 110890 170600 213250 221780 277225 426500 443560 554450 853000 1108900 1386125 2217800 2772250 5544500 11089000