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1090224 = 243267113
BaseRepresentation
bin100001010001010110000
32001101111200
410022022300
5234341344
635211200
712160332
oct4121260
92041450
101090224
11685113
12446b00
132c2305
14205452
15168069
hex10a2b0

1090224 has 60 divisors (see below), whose sum is σ = 3124056. Its totient is φ = 354816.

The previous prime is 1090217. The next prime is 1090241. The reversal of 1090224 is 4220901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1090197 and 1090206.

It is an unprimeable number.

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, 9592 + ... + 9704.

21090224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562028).

1090224 is an abundant number, since it is smaller than the sum of its proper divisors (2033832).

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

1090224 is a wasteful number, since it uses less digits than its factorization.

1090224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1090224 is about 1044.1379219241. The cubic root of 1090224 is about 102.9212959575.

The spelling of 1090224 in words is "one million, ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 113 134 144 201 226 268 339 402 452 536 603 678 804 904 1017 1072 1206 1356 1608 1808 2034 2412 2712 3216 4068 4824 5424 7571 8136 9648 15142 16272 22713 30284 45426 60568 68139 90852 121136 136278 181704 272556 363408 545112 1090224