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4020144 = 243611373
BaseRepresentation
bin1111010101011110110000
321120020121020
433111132300
52012121034
6222055440
746112352
oct17253660
97506536
104020144
1122a6437
12141a580
13aa9aab
147690d2
15546249
hex3d57b0

4020144 has 40 divisors (see below), whose sum is σ = 10563312. Its totient is φ = 1317120.

The previous prime is 4020139. The next prime is 4020151. The reversal of 4020144 is 4410204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2242 + ... + 3614.

Almost surely, 24020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281656).

4020144 is an abundant number, since it is smaller than the sum of its proper divisors (6543168).

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

4020144 is a wasteful number, since it uses less digits than its factorization.

4020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4020144 is about 2005.0296755909. The cubic root of 4020144 is about 159.0061308502.

Adding to 4020144 its reverse (4410204), we get a palindrome (8430348).

The spelling of 4020144 in words is "four million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1373 1464 2746 2928 4119 5492 8238 10984 16476 21968 32952 65904 83753 167506 251259 335012 502518 670024 1005036 1340048 2010072 4020144