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1085502340 = 2251317324133
BaseRepresentation
bin100000010110011…
…0111001110000100
32210122120020021101
41000230313032010
54210342033330
6255414025444
735620421566
oct10054671604
92718506241
101085502340
11507812a7a
12263648284
13143b75ba0
14a4247336
15654704ca
hex40b37384

1085502340 has 48 divisors (see below), whose sum is σ = 2469197808. Its totient is φ = 398467584.

The previous prime is 1085502331. The next prime is 1085502367. The reversal of 1085502340 is 432055801.

It can be written as a sum of positive squares in 8 ways, for example, as 2829124 + 1082673216 = 1682^2 + 32904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1085502299 and 1085502308.

It is an unprimeable number.

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, 32914 + ... + 57046.

It is an arithmetic number, because the mean of its divisors is an integer number (51441621).

Almost surely, 21085502340 is an apocalyptic number.

1085502340 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 1085502340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234598904).

1085502340 is an abundant number, since it is smaller than the sum of its proper divisors (1383695468).

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

1085502340 is a wasteful number, since it uses less digits than its factorization.

1085502340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24328 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1085502340 is about 32946.9625307099. The cubic root of 1085502340 is about 1027.7250005028.

The spelling of 1085502340 in words is "one billion, eighty-five million, five hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 24133 44980 48266 96532 120665 241330 313729 482660 627458 1254916 1568645 3137290 4175009 6274580 8350018 16700036 20875045 41750090 54275117 83500180 108550234 217100468 271375585 542751170 1085502340