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11099000 = 2353111009
BaseRepresentation
bin101010010101…
…101101111000
3202212212222002
4222111231320
510320132000
61033520132
7163224413
oct52255570
922785862
1011099000
1162a0930
123873048
1323b7b73
14168cb7a
15e938d5
hexa95b78

11099000 has 64 divisors (see below), whose sum is σ = 28360800. Its totient is φ = 4032000.

The previous prime is 11098999. The next prime is 11099027. The reversal of 11099000 is 99011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10496 + ... + 11504.

Almost surely, 211099000 is an apocalyptic number.

11099000 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 11099000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14180400).

11099000 is an abundant number, since it is smaller than the sum of its proper divisors (17261800).

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

11099000 is a wasteful number, since it uses less digits than its factorization.

11099000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 11099000 is about 3331.5161713550. The cubic root of 11099000 is about 223.0632114503.

It can be divided in two parts, 110 and 99000, that multiplied together give a square (10890000 = 33002).

The spelling of 11099000 in words is "eleven million, ninety-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1009 1100 1375 2018 2200 2750 4036 5045 5500 8072 10090 11000 11099 20180 22198 25225 40360 44396 50450 55495 88792 100900 110990 126125 201800 221980 252250 277475 443960 504500 554950 1009000 1109900 1387375 2219800 2774750 5549500 11099000