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985500 = 22335373
BaseRepresentation
bin11110000100110011100
31212001212000
43300212130
5223014000
633042300
711243115
oct3604634
91761760
10985500
1161346a
123b6390
13286749
141b920c
15147000
hexf099c

985500 has 96 divisors (see below), whose sum is σ = 3232320. Its totient is φ = 259200.

The previous prime is 985499. The next prime is 985519. The reversal of 985500 is 5589.

985500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13464 + ... + 13536.

It is an arithmetic number, because the mean of its divisors is an integer number (33670).

2985500 is an apocalyptic number.

985500 is a gapful number since it is divisible by the number (90) 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 985500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616160).

985500 is an abundant number, since it is smaller than the sum of its proper divisors (2246820).

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

985500 is a wasteful number, since it uses less digits than its factorization.

985500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 985500 is about 992.7235264665. The cubic root of 985500 is about 99.5143115530.

It can be divided in two parts, 985 and 500, that added together give a triangular number (1485 = T54).

The spelling of 985500 in words is "nine hundred eighty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 73 75 90 100 108 125 135 146 150 180 219 225 250 270 292 300 365 375 438 450 500 540 657 675 730 750 876 900 1095 1125 1314 1350 1460 1500 1825 1971 2190 2250 2628 2700 3285 3375 3650 3942 4380 4500 5475 6570 6750 7300 7884 9125 9855 10950 13140 13500 16425 18250 19710 21900 27375 32850 36500 39420 49275 54750 65700 82125 98550 109500 164250 197100 246375 328500 492750 985500