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86020 = 225111723
BaseRepresentation
bin10101000000000100
311100222221
4111000010
510223040
61502124
7505534
oct250004
9140887
1086020
11596a0
1241944
13301cc
14234c4
151a74a
hex15004

86020 has 48 divisors (see below), whose sum is σ = 217728. Its totient is φ = 28160.

The previous prime is 86017. The next prime is 86027. The reversal of 86020 is 2068.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 85985 and 86003.

It is not an unprimeable number, because it can be changed into a prime (86027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729 + ... + 3751.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

286020 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 86020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

86020 is an abundant number, since it is smaller than the sum of its proper divisors (131708).

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

86020 is a wasteful number, since it uses less digits than its factorization.

86020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 86020 is about 293.2916637070. The cubic root of 86020 is about 44.1434710685.

Adding to 86020 its reverse (2068), we get a palindrome (88088).

The spelling of 86020 in words is "eighty-six thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3740 3910 4301 5060 7820 8602 17204 21505 43010 86020