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4200606 = 233107727
BaseRepresentation
bin10000000001100010011110
321220102011000
4100001202132
52033404411
6230011130
750463444
oct20014236
97812130
104200606
112409a83
1214a6aa6
13b40c87
147b4b94
1557e956
hex40189e

4200606 has 32 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1385208.

The previous prime is 4200601. The next prime is 4200607. The reversal of 4200606 is 6060024.

4200606 = T225 + T226 + ... + T331.

It is a Harshad number since it is a multiple of its sum of digits (18).

4200606 is a modest number, since divided by 606 gives 420 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5415 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 24200606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

4200606 is an abundant number, since it is smaller than the sum of its proper divisors (5234274).

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

4200606 is a wasteful number, since it uses less digits than its factorization.

4200606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4200606 is about 2049.5379967202. The cubic root of 4200606 is about 161.3506240528.

The spelling of 4200606 in words is "four million, two hundred thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 727 963 1454 1926 2181 2889 4362 5778 6543 13086 19629 39258 77789 155578 233367 466734 700101 1400202 2100303 4200606