| Base | Representation |
|---|---|
| bin | 1010000001001… |
| … | …10000100010000 |
| 3 | 12212010202221200 |
| 4 | 11000212010100 |
| 5 | 133003321000 |
| 6 | 12201151200 |
| 7 | 2040226260 |
| oct | 500460420 |
| 9 | 185122850 |
| 10 | 84042000 |
| 11 | 43491aa9 |
| 12 | 2418b500 |
| 13 | 145470c3 |
| 14 | b2397a0 |
| 15 | 75a1500 |
| hex | 5026110 |
84042000 has 480 divisors, whose sum is σ = 362119680. Its totient is φ = 17740800.
The previous prime is 84041953. The next prime is 84042001. The reversal of 84042000 is 24048.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (84042001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2897986 + ... + 2898014.
It is an arithmetic number, because the mean of its divisors is an integer number (754416).
Almost surely, 284042000 is an apocalyptic number.
84042000 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 84042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).
84042000 is an abundant number, since it is smaller than the sum of its proper divisors (278077680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84042000 is a wasteful number, since it uses less digits than its factorization.
84042000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 84042000 is about 9167.4423914198. The cubic root of 84042000 is about 438.0248938125.
Adding to 84042000 its reverse (24048), we get a palindrome (84066048).
It can be divided in two parts, 8404 and 2000, that added together give a square (10404 = 1022).
The spelling of 84042000 in words is "eighty-four million, forty-two thousand".
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