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1080457728 = 29373172
BaseRepresentation
bin100000001100110…
…0111101000000000
32210022001221100220
41000121213220000
54203044121403
6255113543040
735526511350
oct10031475000
92708057326
101080457728
11504987979
12261a14a80
13142aca9cc
14a36d2b60
1564cc5953
hex40667a00

1080457728 has 120 divisors (see below), whose sum is σ = 3300017952. Its totient is φ = 307728384.

The previous prime is 1080457723. The next prime is 1080457747. The reversal of 1080457728 is 8277540801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1080457728.

It is not an unprimeable number, because it can be changed into a prime (1080457723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3408226 + ... + 3408542.

Almost surely, 21080457728 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 1080457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650008976).

1080457728 is an abundant number, since it is smaller than the sum of its proper divisors (2219560224).

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

1080457728 is an frugal number, since it uses more digits than its factorization.

1080457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 1080457728 is about 32870.3168223247. The cubic root of 1080457728 is about 1026.1304926950.

Multiplying 1080457728 by its sum of digits (42), we get a square (45379224576 = 2130242).

1080457728 divided by its sum of digits (42) gives a square (25725184 = 50722).

It can be divided in two parts, 1080457 and 728, that added together give a triangular number (1081185 = T1470).

The spelling of 1080457728 in words is "one billion, eighty million, four hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 317 336 384 448 512 634 672 768 896 951 1268 1344 1536 1792 1902 2219 2536 2688 3584 3804 4438 5072 5376 6657 7608 8876 10144 10752 13314 15216 17752 20288 26628 30432 35504 40576 53256 60864 71008 81152 100489 106512 121728 142016 162304 200978 213024 243456 284032 301467 401956 426048 486912 568064 602934 703423 803912 852096 1136128 1205868 1406846 1607824 1704192 2110269 2411736 2813692 3215648 3408384 4220538 4823472 5627384 6431296 8441076 9646944 11254768 12862592 16882152 19293888 22509536 25725184 33764304 38587776 45019072 51450368 67528608 77175552 90038144 135057216 154351104 180076288 270114432 360152576 540228864 1080457728