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84100 = 2252292
BaseRepresentation
bin10100100010000100
311021100211
4110202010
510142400
61445204
7500122
oct244204
9137324
1084100
1158205
1240804
132c383
1422912
1519dba
hex14884

84100 has 27 divisors (see below), whose sum is σ = 189007. Its totient is φ = 32480.

The previous prime is 84089. The next prime is 84121. The reversal of 84100 is 148.

Adding to 84100 its reverse (148), we get a palindrome (84248).

84100 = T289 + T290.

The square root of 84100 is 290.

It is a perfect power (a square), and thus also a powerful number.

84100 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 82944 = 34^2 + 288^2 .

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2886 + ... + 2914.

284100 is an apocalyptic number.

84100 is the 290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84100

84100 is an abundant number, since it is smaller than the sum of its proper divisors (104907).

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

84100 is a wasteful number, since it uses less digits than its factorization.

84100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The cubic root of 84100 is about 43.8125635512.

The spelling of 84100 in words is "eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1450 1682 2900 3364 4205 8410 16820 21025 42050 84100