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1085073705 = 33517472799
BaseRepresentation
bin100000010101100…
…1110100100101001
32210121202110022000
41000223032210221
54210234324310
6255400521213
735613655122
oct10053164451
92717673260
101085073705
1150754aa31
12263480209
13143a55a61
14a4175049
15653d84c0
hex40ace929

1085073705 has 32 divisors (see below), whose sum is σ = 2042496000. Its totient is φ = 544663296.

The previous prime is 1085073607. The next prime is 1085073707. The reversal of 1085073705 is 5073705801.

It is not a de Polignac number, because 1085073705 - 214 = 1085057321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1085073705.

It is not an unprimeable number, because it can be changed into a prime (1085073707) 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 31 ways as a sum of consecutive naturals, for example, 234105 + ... + 238694.

It is an arithmetic number, because the mean of its divisors is an integer number (63828000).

Almost surely, 21085073705 is an apocalyptic number.

1085073705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085073705 is a deficient number, since it is larger than the sum of its proper divisors (957422295).

1085073705 is a wasteful number, since it uses less digits than its factorization.

1085073705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472830 (or 472824 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1085073705 is about 32940.4569640435. The cubic root of 1085073705 is about 1027.5897092541.

The spelling of 1085073705 in words is "one billion, eighty-five million, seventy-three thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 472799 1418397 2363995 4255191 7091985 8037583 12765573 21275955 24112749 40187915 63827865 72338247 120563745 217014741 361691235 1085073705