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86080 = 265269
BaseRepresentation
bin10101000001000000
311101002011
4111001000
510223310
61502304
7505651
oct250100
9141064
1086080
1159745
1241994
1330247
1423528
151a78a
hex15040

86080 has 28 divisors (see below), whose sum is σ = 205740. Its totient is φ = 34304.

The previous prime is 86077. The next prime is 86083. The reversal of 86080 is 8068.

It is an interprime number because it is at equal distance from previous prime (86077) and next prime (86083).

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 69696 = 128^2 + 264^2 .

It is not an unprimeable number, because it can be changed into a prime (86083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186 + ... + 454.

286080 is an apocalyptic number.

86080 is a gapful number since it is divisible by the number (80) 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 86080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102870).

86080 is an abundant number, since it is smaller than the sum of its proper divisors (119660).

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

86080 is a wasteful number, since it uses less digits than its factorization.

86080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 86080 is about 293.3939331343. The cubic root of 86080 is about 44.1537322197.

The spelling of 86080 in words is "eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 1076 1345 2152 2690 4304 5380 8608 10760 17216 21520 43040 86080