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1085482000 = 2453599199
BaseRepresentation
bin100000010110011…
…0010010000010000
32210122112012101001
41000230302100100
54210340411000
6255413351344
735620305361
oct10054622020
92718465331
101085482000
115077a9769
12263638554
13143b69855
14a423db68
156546946a
hex40b32410

1085482000 has 80 divisors (see below), whose sum is σ = 2669472000. Its totient is φ = 426787200.

The previous prime is 1085481979. The next prime is 1085482001. The reversal of 1085482000 is 2845801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1085482000.

It is not an unprimeable number, because it can be changed into a prime (1085482001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113401 + ... + 122599.

It is an arithmetic number, because the mean of its divisors is an integer number (33368400).

Almost surely, 21085482000 is an apocalyptic number.

1085482000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334736000).

1085482000 is an abundant number, since it is smaller than the sum of its proper divisors (1583990000).

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

1085482000 is an equidigital number, since it uses as much as digits as its factorization.

1085482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1085482000 is about 32946.6538513397. The cubic root of 1085482000 is about 1027.7185813375.

The spelling of 1085482000 in words is "one billion, eighty-five million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 9199 11800 14750 18398 23600 29500 36796 45995 59000 73592 91990 118000 147184 183980 229975 367960 459950 542741 735920 919900 1085482 1149875 1839800 2170964 2299750 2713705 3679600 4341928 4599500 5427410 8683856 9199000 10854820 13568525 18398000 21709640 27137050 43419280 54274100 67842625 108548200 135685250 217096400 271370500 542741000 1085482000