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83660 = 2254789
BaseRepresentation
bin10100011011001100
311020202112
4110123030
510134120
61443152
7465623
oct243314
9136675
1083660
1157945
12404b8
132c105
14226ba
1519bc5
hex146cc

83660 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 32384.

The previous prime is 83653. The next prime is 83663. The reversal of 83660 is 6638.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

283660 is an apocalyptic number.

It is an amenable number.

83660 is an abundant number, since it is smaller than the sum of its proper divisors (97780).

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 (90720).

83660 is a wasteful number, since it uses less digits than its factorization.

83660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 83660 is about 289.2403844556. The cubic root of 83660 is about 43.7360227459.

The spelling of 83660 in words is "eighty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 47 89 94 178 188 235 356 445 470 890 940 1780 4183 8366 16732 20915 41830 83660