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86060 = 22513331
BaseRepresentation
bin10101000000101100
311101001102
4111000230
510223220
61502232
7505622
oct250054
9141042
1086060
1159727
1241978
1330230
1423512
151a775
hex1502c

86060 has 24 divisors (see below), whose sum is σ = 195216. Its totient is φ = 31680.

The previous prime is 86029. The next prime is 86069. The reversal of 86060 is 6068.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86060.

It is not an unprimeable number, because it can be changed into a prime (86069) by changing a digit.

86060 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, 95 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (8134).

286060 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 86060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97608).

86060 is an abundant number, since it is smaller than the sum of its proper divisors (109156).

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

86060 is a wasteful number, since it uses less digits than its factorization.

86060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 86060 is about 293.3598472866. The cubic root of 86060 is about 44.1503123659.

The spelling of 86060 in words is "eighty-six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 1324 1655 3310 4303 6620 8606 17212 21515 43030 86060