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84000 = 253537
BaseRepresentation
bin10100100000100000
311021020010
4110200200
510142000
61444520
7466620
oct244040
9137203
1084000
1158124
1240740
132c307
1422880
1519d50
hex14820

84000 has 96 divisors (see below), whose sum is σ = 314496. Its totient is φ = 19200.

The previous prime is 83987. The next prime is 84011. The reversal of 84000 is 48.

Adding to 84000 its reverse (48), we get a palindrome (84048).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11997 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

284000 is an apocalyptic number.

84000 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 84000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

84000 is an abundant number, since it is smaller than the sum of its proper divisors (230496).

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

84000 is a wasteful number, since it uses less digits than its factorization.

84000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 84000 is about 289.8275349238. The cubic root of 84000 is about 43.7951913989.

The spelling of 84000 in words is "eighty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 125 140 150 160 168 175 200 210 224 240 250 280 300 336 350 375 400 420 480 500 525 560 600 672 700 750 800 840 875 1000 1050 1120 1200 1400 1500 1680 1750 2000 2100 2400 2625 2800 3000 3360 3500 4000 4200 5250 5600 6000 7000 8400 10500 12000 14000 16800 21000 28000 42000 84000