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83118 = 2371979
BaseRepresentation
bin10100010010101110
311020000110
4110102232
510124433
61440450
7464220
oct242256
9136013
1083118
11574a2
1240126
132baa9
1422410
1519963
hex144ae

83118 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 23736.

The previous prime is 83117. The next prime is 83137. The reversal of 83118 is 81138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 83094 and 83103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83117) 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, 948 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

283118 is an apocalyptic number.

83118 is an abundant number, since it is smaller than the sum of its proper divisors (106962).

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 (95040).

83118 is a wasteful number, since it uses less digits than its factorization.

83118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991.

The product of its digits is 192, while the sum is 21.

The square root of 83118 is about 288.3019250716. The cubic root of 83118 is about 43.6413685863.

The spelling of 83118 in words is "eighty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 1979 3958 5937 11874 13853 27706 41559 83118