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1080768 = 26313433
BaseRepresentation
bin100000111110111000000
32000220112110
410013313000
5234041033
635055320
712120633
oct4076700
92026473
101080768
11678aa7
12441540
132bac10
14201c1a
15165363
hex107dc0

1080768 has 56 divisors (see below), whose sum is σ = 3086608. Its totient is φ = 331776.

The previous prime is 1080767. The next prime is 1080773. The reversal of 1080768 is 8670801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (55118).

21080768 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 1080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543304).

1080768 is an abundant number, since it is smaller than the sum of its proper divisors (2005840).

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

1080768 is a wasteful number, since it uses less digits than its factorization.

1080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1080768 is about 1039.5999230473. The cubic root of 1080768 is about 102.6228706961.

The spelling of 1080768 in words is "one million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 433 624 832 866 1248 1299 1732 2496 2598 3464 5196 5629 6928 10392 11258 13856 16887 20784 22516 27712 33774 41568 45032 67548 83136 90064 135096 180128 270192 360256 540384 1080768