Search a number
-
+
541303040 = 285422893
BaseRepresentation
bin100000010000111…
…010000100000000
31101201120001011202
4200100322010000
52102033144130
6125414000332
716261666655
oct4020720400
91351501152
10541303040
11258607a93
121313460a8
13881b6a75
1451c67c2c
15327c6145
hex2043a100

541303040 has 36 divisors (see below), whose sum is σ = 1296593004. Its totient is φ = 216520704.

The previous prime is 541303039. The next prime is 541303057. The reversal of 541303040 is 40303145.

It can be written as a sum of positive squares in 2 ways, for example, as 67108864 + 474194176 = 8192^2 + 21776^2 .

It is a super-2 number, since 2×5413030402 = 586017962226483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210167 + ... + 212726.

Almost surely, 2541303040 is an apocalyptic number.

It is an amenable number.

541303040 is an abundant number, since it is smaller than the sum of its proper divisors (755289964).

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

541303040 is an equidigital number, since it uses as much as digits as its factorization.

541303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422914 (or 422900 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 541303040 is about 23265.9201408412. The cubic root of 541303040 is about 814.9797578623.

Adding to 541303040 its reverse (40303145), we get a palindrome (581606185).

The spelling of 541303040 in words is "five hundred forty-one million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 422893 845786 1691572 2114465 3383144 4228930 6766288 8457860 13532576 16915720 27065152 33831440 54130304 67662880 108260608 135325760 270651520 541303040