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84316000 = 2553107197
BaseRepresentation
bin1010000011010…
…00111101100000
312212122200210211
411001220331200
5133041103000
612211103504
72042450146
oct501507540
9185580724
1084316000
114365994a
12242a1b94
1314611a32
14b2ab596
1576077ba
hex5068f60

84316000 has 96 divisors (see below), whose sum is σ = 210161952. Its totient is φ = 33241600.

The previous prime is 84315941. The next prime is 84316009. The reversal of 84316000 is 61348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84316009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427902 + ... + 428098.

It is an arithmetic number, because the mean of its divisors is an integer number (2189187).

Almost surely, 284316000 is an apocalyptic number.

84316000 is a gapful number since it is divisible by the number (80) 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 84316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105080976).

84316000 is an abundant number, since it is smaller than the sum of its proper divisors (125845952).

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

84316000 is a wasteful number, since it uses less digits than its factorization.

84316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 84316000 is about 9182.3744205951. The cubic root of 84316000 is about 438.5004045698.

Adding to 84316000 its reverse (61348), we get a palindrome (84377348).

The spelling of 84316000 in words is "eighty-four million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 125 160 197 200 214 250 394 400 428 500 535 788 800 856 985 1000 1070 1576 1712 1970 2000 2140 2675 3152 3424 3940 4000 4280 4925 5350 6304 7880 8560 9850 10700 13375 15760 17120 19700 21079 21400 24625 26750 31520 39400 42158 42800 49250 53500 78800 84316 85600 98500 105395 107000 157600 168632 197000 210790 214000 337264 394000 421580 428000 526975 674528 788000 843160 1053950 1686320 2107900 2634875 3372640 4215800 5269750 8431600 10539500 16863200 21079000 42158000 84316000