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84660 = 22351783
BaseRepresentation
bin10100101010110100
311022010120
4110222310
510202120
61451540
7501552
oct245264
9138116
1084660
1158674
1240bb0
132c6c4
1422bd2
151a140
hex14ab4

84660 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 20992.

The previous prime is 84659. The next prime is 84673. The reversal of 84660 is 6648.

It is a self number, because there is not a number n which added to its sum of digits gives 84660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

284660 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 84660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

84660 is an abundant number, since it is smaller than the sum of its proper divisors (169356).

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

84660 is a wasteful number, since it uses less digits than its factorization.

84660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 84660 is about 290.9639152885. The cubic root of 84660 is about 43.9095939859.

The spelling of 84660 in words is "eighty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 996 1020 1245 1411 1660 2490 2822 4233 4980 5644 7055 8466 14110 16932 21165 28220 42330 84660