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541424 = 241319137
BaseRepresentation
bin10000100001011110000
31000111200202
42010023300
5114311144
615334332
74413332
oct2041360
91014622
10541424
1133a864
122213a8
1315c590
14101452
15aa64e
hex842f0

541424 has 40 divisors (see below), whose sum is σ = 1197840. Its totient is φ = 235008.

The previous prime is 541417. The next prime is 541439. The reversal of 541424 is 424145.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 541396 and 541405.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3884 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (29946).

2541424 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 541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598920).

541424 is an abundant number, since it is smaller than the sum of its proper divisors (656416).

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

541424 is a wasteful number, since it uses less digits than its factorization.

541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 640, while the sum is 20.

The square root of 541424 is about 735.8151941894. The cubic root of 541424 is about 81.5040458679.

Adding to 541424 its reverse (424145), we get a palindrome (965569).

The spelling of 541424 in words is "five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 137 152 208 247 274 304 494 548 988 1096 1781 1976 2192 2603 3562 3952 5206 7124 10412 14248 20824 28496 33839 41648 67678 135356 270712 541424