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1080352 = 25721353
BaseRepresentation
bin100000111110000100000
32000212222001
410013300200
5234032402
635053344
712116500
oct4076040
92025861
101080352
11678759
12441254
132ba980
14201a00
15165187
hex107c20

1080352 has 72 divisors (see below), whose sum is σ = 2714796. Its totient is φ = 419328.

The previous prime is 1080347. The next prime is 1080353. The reversal of 1080352 is 2530801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1073296 + 7056 = 1036^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (1080353) 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 11 ways as a sum of consecutive naturals, for example, 20358 + ... + 20410.

21080352 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 1080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357398).

1080352 is an abundant number, since it is smaller than the sum of its proper divisors (1634444).

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

1080352 is a wasteful number, since it uses less digits than its factorization.

1080352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

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

The square root of 1080352 is about 1039.3998268232. The cubic root of 1080352 is about 102.6097020997.

The spelling of 1080352 in words is "one million, eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 53 56 91 98 104 106 112 182 196 208 212 224 364 371 392 416 424 637 689 728 742 784 848 1274 1378 1456 1484 1568 1696 2548 2597 2756 2912 2968 4823 5096 5194 5512 5936 9646 10192 10388 11024 11872 19292 20384 20776 22048 33761 38584 41552 67522 77168 83104 135044 154336 270088 540176 1080352