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4142240 = 25525889
BaseRepresentation
bin1111110011010010100000
321210110002022
433303102200
52030022430
6224441012
750131334
oct17632240
97713068
104142240
11237a143
121479168
13b2053b
1479b7c4
1556c4e5
hex3f34a0

4142240 has 24 divisors (see below), whose sum is σ = 9786420. Its totient is φ = 1656832.

The previous prime is 4142227. The next prime is 4142267. The reversal of 4142240 is 422414.

4142240 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 2 ways, for example, as 3952144 + 190096 = 1988^2 + 436^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12785 + ... + 13104.

Almost surely, 24142240 is an apocalyptic number.

4142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142240 is an abundant number, since it is smaller than the sum of its proper divisors (5644180).

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

4142240 is a wasteful number, since it uses less digits than its factorization.

4142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904 (or 25896 counting only the distinct ones).

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

The square root of 4142240 is about 2035.2493704704. The cubic root of 4142240 is about 160.5998317846.

Adding to 4142240 its reverse (422414), we get a palindrome (4564654).

The spelling of 4142240 in words is "four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25889 51778 103556 129445 207112 258890 414224 517780 828448 1035560 2071120 4142240