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541513420 = 225713927827
BaseRepresentation
bin100000010001101…
…101011011001100
31101201221201202121
4200101231123030
52102111412140
6125422302324
716263534220
oct4021553314
91351851677
10541513420
11258741058
121314279a4
138825b756
1451cc0780
153281864a
hex2046d6cc

541513420 has 48 divisors (see below), whose sum is σ = 1309029120. Its totient is φ = 184319424.

The previous prime is 541513391. The next prime is 541513421. The reversal of 541513420 is 24315145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541513421) 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 15 ways as a sum of consecutive naturals, for example, 5547 + ... + 33373.

It is an arithmetic number, because the mean of its divisors is an integer number (27271440).

Almost surely, 2541513420 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 541513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654514560).

541513420 is an abundant number, since it is smaller than the sum of its proper divisors (767515700).

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

541513420 is a wasteful number, since it uses less digits than its factorization.

541513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27982 (or 27980 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 541513420 is about 23270.4409068672. The cubic root of 541513420 is about 815.0853261061.

Adding to 541513420 its reverse (24315145), we get a palindrome (565828565).

The spelling of 541513420 in words is "five hundred forty-one million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 19460 27827 55654 111308 139135 194789 278270 389578 556540 779156 973945 1947890 3867953 3895780 7735906 15471812 19339765 27075671 38679530 54151342 77359060 108302684 135378355 270756710 541513420