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4204160 = 2756569
BaseRepresentation
bin10000000010011010000000
321220121000122
4100002122000
52034013120
6230035412
750510012
oct20023200
97817018
104204160
112411714
1214a8b68
13b4278c
147b61b2
15580a25
hex402680

4204160 has 32 divisors (see below), whose sum is σ = 10052100. Its totient is φ = 1681408.

The previous prime is 4204157. The next prime is 4204169. The reversal of 4204160 is 614024.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 107584 = 2024^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×42041602 = 35349922611200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4204169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2645 + ... + 3924.

Almost surely, 24204160 is an apocalyptic number.

4204160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4204160 is an abundant number, since it is smaller than the sum of its proper divisors (5847940).

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

4204160 is an equidigital number, since it uses as much as digits as its factorization.

4204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4204160 is about 2050.4048380747. The cubic root of 4204160 is about 161.3961157803.

Adding to 4204160 its reverse (614024), we get a palindrome (4818184).

The spelling of 4204160 in words is "four million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6569 13138 26276 32845 52552 65690 105104 131380 210208 262760 420416 525520 840832 1051040 2102080 4204160