Search a number
-
+
541120644 = 223238772
BaseRepresentation
bin100000010000001…
…101100010000100
31101201012202222100
4200100031202010
52102011330034
6125410032100
716260310131
oct4020154204
91351182870
10541120644
112584a2a49
12131278630
1388151a3c
1451c1b588
153278c099
hex2040d884

541120644 has 27 divisors (see below), whose sum is σ = 1368185637. Its totient is φ = 180327024.

The previous prime is 541120639. The next prime is 541120649. The reversal of 541120644 is 446021145.

The square root of 541120644 is 23262.

It is a perfect power (a square), and thus also a powerful number.

541120644 is a `hidden beast` number, since 5 + 4 + 1 + 12 + 0 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (541120639) and next prime (541120649).

It can be written as a sum of positive squares in only one way, i.e., 137592900 + 403527744 = 11730^2 + 20088^2 .

It is not an unprimeable number, because it can be changed into a prime (541120649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137634 + ... + 141510.

Almost surely, 2541120644 is an apocalyptic number.

541120644 is the 23262-nd square number.

It is an amenable number.

541120644 is an abundant number, since it is smaller than the sum of its proper divisors (827064993).

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

541120644 is an equidigital number, since it uses as much as digits as its factorization.

541120644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 541120644 is about 814.8882097914. Note that the first 3 decimals are identical.

Adding to 541120644 its reverse (446021145), we get a palindrome (987141789).

The spelling of 541120644 in words is "five hundred forty-one million, one hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3877 7754 11631 15508 23262 34893 46524 69786 139572 15031129 30062258 45093387 60124516 90186774 135280161 180373548 270560322 541120644