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41142040 = 2351723559
BaseRepresentation
bin1001110011110…
…0011100011000
32212102020021021
42130330130120
541013021130
64025452224
71006462432
oct234743430
985366237
1041142040
1121250695
1211941074
1386a6604
14566d652
15392a37a
hex273c718

41142040 has 48 divisors (see below), whose sum is σ = 98362800. Its totient is φ = 15484416.

The previous prime is 41141993. The next prime is 41142041. The reversal of 41142040 is 4024114.

41142040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142041) 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 11 ways as a sum of consecutive naturals, for example, 9781 + ... + 13339.

It is an arithmetic number, because the mean of its divisors is an integer number (2049225).

Almost surely, 241142040 is an apocalyptic number.

41142040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49181400).

41142040 is an abundant number, since it is smaller than the sum of its proper divisors (57220760).

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

41142040 is a wasteful number, since it uses less digits than its factorization.

41142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41142040 is about 6414.2061083193. The cubic root of 41142040 is about 345.2194640879.

Adding to 41142040 its reverse (4024114), we get a palindrome (45166154).

The spelling of 41142040 in words is "forty-one million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 3559 5780 7118 11560 14236 17795 28472 35590 60503 71180 121006 142360 242012 302515 484024 605030 1028551 1210060 2057102 2420120 4114204 5142755 8228408 10285510 20571020 41142040