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4082420 = 2254347101
BaseRepresentation
bin1111100100101011110100
321200102000202
433210223310
52021114140
6223300032
746462046
oct17445364
97612022
104082420
112339201
12144a618
13acc244
14783a96
15559915
hex3e4af4

4082420 has 48 divisors (see below), whose sum is σ = 9047808. Its totient is φ = 1545600.

The previous prime is 4082413. The next prime is 4082423. The reversal of 4082420 is 242804.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4082392 and 4082401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40370 + ... + 40470.

It is an arithmetic number, because the mean of its divisors is an integer number (188496).

Almost surely, 24082420 is an apocalyptic number.

It is a pronic number, being equal to 2020×2021.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523904).

4082420 is an abundant number, since it is smaller than the sum of its proper divisors (4965388).

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

4082420 is a wasteful number, since it uses less digits than its factorization.

4082420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4082420 is about 2020.4999381341. The cubic root of 4082420 is about 159.8229813080.

The spelling of 4082420 in words is "four million, eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 47 86 94 101 172 188 202 215 235 404 430 470 505 860 940 1010 2020 2021 4042 4343 4747 8084 8686 9494 10105 17372 18988 20210 21715 23735 40420 43430 47470 86860 94940 204121 408242 816484 1020605 2041210 4082420