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4068200 = 235220341
BaseRepresentation
bin1111100001001101101000
321122200112002
433201031220
52020140300
6223110132
746402433
oct17411550
97580462
104068200
112329554
121442348
13ac5926
1477c81a
155555d5
hex3e1368

4068200 has 24 divisors (see below), whose sum is σ = 9459030. Its totient is φ = 1627200.

The previous prime is 4068139. The next prime is 4068203. The reversal of 4068200 is 28604.

4068200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3232804 + 835396 = 1798^2 + 914^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4068203) 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 5 ways as a sum of consecutive naturals, for example, 9971 + ... + 10370.

Almost surely, 24068200 is an apocalyptic number.

4068200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4068200 is an abundant number, since it is smaller than the sum of its proper divisors (5390830).

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

4068200 is a wasteful number, since it uses less digits than its factorization.

4068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357 (or 20348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4068200 is about 2016.9779374103. The cubic root of 4068200 is about 159.6371988007.

The spelling of 4068200 in words is "four million, sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20341 40682 81364 101705 162728 203410 406820 508525 813640 1017050 2034100 4068200