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1085500 = 225313167
BaseRepresentation
bin100001001000000111100
32001011000201
410021000330
5234214000
635133244
712140503
oct4110074
92034021
101085500
11681609
12444224
132c0110
1420383a
1516696a
hex10903c

1085500 has 48 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 398400.

The previous prime is 1085473. The next prime is 1085509. The reversal of 1085500 is 55801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6417 + ... + 6583.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

21085500 is an apocalyptic number.

1085500 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 1085500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

1085500 is an abundant number, since it is smaller than the sum of its proper divisors (1482884).

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

1085500 is a wasteful number, since it uses less digits than its factorization.

1085500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1085500 is about 1041.8733128361. The cubic root of 1085500 is about 102.7724262019.

The spelling of 1085500 in words is "one million, eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 167 250 260 325 334 500 650 668 835 1300 1625 1670 2171 3250 3340 4175 4342 6500 8350 8684 10855 16700 20875 21710 41750 43420 54275 83500 108550 217100 271375 542750 1085500