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85080 = 2335709
BaseRepresentation
bin10100110001011000
311022201010
4110301120
510210310
61453520
7503022
oct246130
9138633
1085080
1158a16
12412a0
132c958
1423012
151a320
hex14c58

85080 has 32 divisors (see below), whose sum is σ = 255600. Its totient is φ = 22656.

The previous prime is 85061. The next prime is 85081. The reversal of 85080 is 8058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85081) 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 7 ways as a sum of consecutive naturals, for example, 235 + ... + 474.

285080 is an apocalyptic number.

It is an amenable number.

85080 is an abundant number, since it is smaller than the sum of its proper divisors (170520).

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 (127800).

85080 is a wasteful number, since it uses less digits than its factorization.

85080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 85080 is about 291.6847613435. The cubic root of 85080 is about 43.9820863718.

The spelling of 85080 in words is "eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 14180 17016 21270 28360 42540 85080