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1085056728 = 233759109469
BaseRepresentation
bin100000010101100…
…1010011011011000
32210121201121000020
41000223022123120
54210233303403
6255400310440
735613554460
oct10053123330
92717647006
101085056728
115075391a8
12263472420
13143a4b102
14a416cba0
15653d3453
hex40aca6d8

1085056728 has 64 divisors (see below), whose sum is σ = 3152736000. Its totient is φ = 304758912.

The previous prime is 1085056697. The next prime is 1085056729. The reversal of 1085056728 is 8276505801.

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 1085056728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085056729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44823 + ... + 64646.

It is an arithmetic number, because the mean of its divisors is an integer number (49261500).

Almost surely, 21085056728 is an apocalyptic number.

It is an amenable number.

1085056728 is an abundant number, since it is smaller than the sum of its proper divisors (2067679272).

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

1085056728 is a wasteful number, since it uses less digits than its factorization.

1085056728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109544 (or 109540 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 1085056728 is about 32940.1992707998. The cubic root of 1085056728 is about 1027.5843500232.

The spelling of 1085056728 in words is "one billion, eighty-five million, fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 109469 218938 328407 437876 656814 766283 875752 1313628 1532566 2298849 2627256 3065132 4597698 6130264 6458671 9195396 12917342 18390792 19376013 25834684 38752026 45210697 51669368 77504052 90421394 135632091 155008104 180842788 271264182 361685576 542528364 1085056728