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4142420 = 225207121
BaseRepresentation
bin1111110011010101010100
321210110022222
433303111110
52030024140
6224441512
750132012
oct17632524
97713288
104142420
11237a297
121479298
13b20649
1479b8b2
1556c5b5
hex3f3554

4142420 has 12 divisors (see below), whose sum is σ = 8699124. Its totient is φ = 1656960.

The previous prime is 4142417. The next prime is 4142423. The reversal of 4142420 is 242414.

It is an interprime number because it is at equal distance from previous prime (4142417) and next prime (4142423).

It can be written as a sum of positive squares in 2 ways, for example, as 2298256 + 1844164 = 1516^2 + 1358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142423) 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 3 ways as a sum of consecutive naturals, for example, 103541 + ... + 103580.

It is an arithmetic number, because the mean of its divisors is an integer number (724927).

Almost surely, 24142420 is an apocalyptic number.

It is an amenable number.

4142420 is an abundant number, since it is smaller than the sum of its proper divisors (4556704).

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

4142420 is a wasteful number, since it uses less digits than its factorization.

4142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207130 (or 207128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4142420 is about 2035.2935906154. The cubic root of 4142420 is about 160.6021580261.

Adding to 4142420 its reverse (242414), we get a palindrome (4384834).

The spelling of 4142420 in words is "four million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 207121 414242 828484 1035605 2071210 4142420