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1050084 = 22347463
BaseRepresentation
bin100000000010111100100
31222100110000
410000113210
5232100314
634301300
711632320
oct4002744
91870400
101050084
11657a42
12427830
132a9c69
141d4980
1515b209
hex1005e4

1050084 has 60 divisors (see below), whose sum is σ = 3144064. Its totient is φ = 299376.

The previous prime is 1050083. The next prime is 1050139. The reversal of 1050084 is 4800501.

It is a super-2 number, since 2×10500842 = 2205352814112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1050083) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2037 + ... + 2499.

21050084 is an apocalyptic number.

1050084 is a gapful number since it is divisible by the number (14) 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 1050084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572032).

1050084 is an abundant number, since it is smaller than the sum of its proper divisors (2093980).

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

1050084 is a wasteful number, since it uses less digits than its factorization.

1050084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1050084 is about 1024.7360635793. The cubic root of 1050084 is about 101.6423459995.

Adding to 1050084 its reverse (4800501), we get a palindrome (5850585).

The spelling of 1050084 in words is "one million, fifty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 463 567 756 926 1134 1389 1852 2268 2778 3241 4167 5556 6482 8334 9723 12501 12964 16668 19446 25002 29169 37503 38892 50004 58338 75006 87507 116676 150012 175014 262521 350028 525042 1050084