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1350208 = 2617273
BaseRepresentation
bin101001001101001000000
32112121010201
411021221000
5321201313
644534544
714322316
oct5115100
92477121
101350208
11842482
12551454
13383752
142720b6
151ba0dd
hex149a40

1350208 has 42 divisors (see below), whose sum is σ = 2885186. Its totient is φ = 626688.

The previous prime is 1350203. The next prime is 1350229. The reversal of 1350208 is 8020531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 760384 = 768^2 + 872^2 .

It is not an unprimeable number, because it can be changed into a prime (1350203) 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 5 ways as a sum of consecutive naturals, for example, 18460 + ... + 18532.

21350208 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 1350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442593).

1350208 is an abundant number, since it is smaller than the sum of its proper divisors (1534978).

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

1350208 is an equidigital number, since it uses as much as digits as its factorization.

1350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1350208 is about 1161.9845093632. The cubic root of 1350208 is about 110.5266208051.

Adding to 1350208 its reverse (8020531), we get a palindrome (9370739).

The spelling of 1350208 in words is "one million, three hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 289 292 544 578 584 1088 1156 1168 1241 2312 2336 2482 4624 4672 4964 9248 9928 18496 19856 21097 39712 42194 79424 84388 168776 337552 675104 1350208