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84128 = 2511239
BaseRepresentation
bin10100100010100000
311021101212
4110202200
510143003
61445252
7500162
oct244240
9137355
1084128
1158230
1240828
132c3a5
1422932
1519dd8
hex148a0

84128 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 38080.

The previous prime is 84127. The next prime is 84131. The reversal of 84128 is 82148.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 471.

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

284128 is an apocalyptic number.

84128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

84128 is an abundant number, since it is smaller than the sum of its proper divisors (97312).

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

84128 is a wasteful number, since it uses less digits than its factorization.

84128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 84128 is about 290.0482718445. The cubic root of 84128 is about 43.8174252859.

It can be divided in two parts, 84 and 128, that added together give a palindrome (212).

The spelling of 84128 in words is "eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1912 2629 3824 5258 7648 10516 21032 42064 84128