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85340 = 22517251
BaseRepresentation
bin10100110101011100
311100001202
4110311130
510212330
61455032
7503543
oct246534
9140052
1085340
1159132
1241478
132cac8
142315a
151a445
hex14d5c

85340 has 24 divisors (see below), whose sum is σ = 190512. Its totient is φ = 32000.

The previous prime is 85333. The next prime is 85361. The reversal of 85340 is 4358.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

85340 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 7 ways as a sum of consecutive naturals, for example, 215 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

285340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

85340 is an abundant number, since it is smaller than the sum of its proper divisors (105172).

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

85340 is a wasteful number, since it uses less digits than its factorization.

85340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 85340 is about 292.1301079998. The cubic root of 85340 is about 44.0268431246.

Adding to 85340 its reverse (4358), we get a palindrome (89698).

It can be divided in two parts, 85 and 340, that multiplied together give a square (28900 = 1702).

The spelling of 85340 in words is "eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 2510 4267 5020 8534 17068 21335 42670 85340