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420038200 = 23522100191
BaseRepresentation
bin11001000010010…
…100011000111000
31002021101011002101
4121002110120320
51330012210300
6105402513144
713260160111
oct3102243070
91067334071
10420038200
111a6111a0a
12b88057b4
136903921a
143dadd208
1526d20b6a
hex19094638

420038200 has 24 divisors (see below), whose sum is σ = 976589280. Its totient is φ = 168015200.

The previous prime is 420038191. The next prime is 420038207. The reversal of 420038200 is 2830024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420038207) 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, 1049896 + ... + 1050295.

It is an arithmetic number, because the mean of its divisors is an integer number (40691220).

Almost surely, 2420038200 is an apocalyptic number.

420038200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420038200 is an abundant number, since it is smaller than the sum of its proper divisors (556551080).

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

420038200 is a wasteful number, since it uses less digits than its factorization.

420038200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100207 (or 2100198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420038200 is about 20494.8334952983. The cubic root of 420038200 is about 748.9099423927.

Adding to 420038200 its reverse (2830024), we get a palindrome (422868224).

The spelling of 420038200 in words is "four hundred twenty million, thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2100191 4200382 8400764 10500955 16801528 21001910 42003820 52504775 84007640 105009550 210019100 420038200