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85350 = 2352569
BaseRepresentation
bin10100110101100110
311100002010
4110311212
510212400
61455050
7503556
oct246546
9140063
1085350
1159141
1241486
132cb05
1423166
151a450
hex14d66

85350 has 24 divisors (see below), whose sum is σ = 212040. Its totient is φ = 22720.

The previous prime is 85333. The next prime is 85361. The reversal of 85350 is 5358.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

85350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

285350 is an apocalyptic number.

85350 is an abundant number, since it is smaller than the sum of its proper divisors (126690).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

85350 is a wasteful number, since it uses less digits than its factorization.

85350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 85350 is about 292.1472231598. The cubic root of 85350 is about 44.0285627216.

It can be divided in two parts, 853 and 50, that added together give a triangular number (903 = T42).

The spelling of 85350 in words is "eighty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 569 1138 1707 2845 3414 5690 8535 14225 17070 28450 42675 85350