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83960 = 2352099
BaseRepresentation
bin10100011111111000
311021011122
4110133320
510141320
61444412
7466532
oct243770
9137148
1083960
1158098
1240708
132c2a6
1422852
1519d25
hex147f8

83960 has 16 divisors (see below), whose sum is σ = 189000. Its totient is φ = 33568.

The previous prime is 83939. The next prime is 83969. The reversal of 83960 is 6938.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 1089.

283960 is an apocalyptic number.

It is an amenable number.

83960 is an abundant number, since it is smaller than the sum of its proper divisors (105040).

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 (94500).

83960 is a wasteful number, since it uses less digits than its factorization.

83960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 83960 is about 289.7585201508. The cubic root of 83960 is about 43.7882386775.

The spelling of 83960 in words is "eighty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2099 4198 8396 10495 16792 20990 41980 83960