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541004420 = 225114195869
BaseRepresentation
bin100000001111110…
…001001010000100
31101200222212112202
4200033301022010
52101444120140
6125403334032
716256314235
oct4017611204
91350885482
10541004420
112584236a0
12131221318
1388110b78
1451bcb08c
1532767915
hex203f1284

541004420 has 48 divisors (see below), whose sum is σ = 1242561600. Its totient is φ = 196225920.

The previous prime is 541004419. The next prime is 541004437. The reversal of 541004420 is 24400145.

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

It is a junction number, because it is equal to n+sod(n) for n = 541004392 and 541004401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89246 + ... + 95114.

It is an arithmetic number, because the mean of its divisors is an integer number (25886700).

Almost surely, 2541004420 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 541004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621280800).

541004420 is an abundant number, since it is smaller than the sum of its proper divisors (701557180).

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

541004420 is a wasteful number, since it uses less digits than its factorization.

541004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6306 counting only the distinct ones).

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

The square root of 541004420 is about 23259.5017143532. The cubic root of 541004420 is about 814.8298639925.

Adding to 541004420 its reverse (24400145), we get a palindrome (565404565).

The spelling of 541004420 in words is "five hundred forty-one million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 4190 4609 5869 8380 9218 11738 18436 23045 23476 29345 46090 58690 64559 92180 117380 129118 258236 322795 645590 1291180 2459111 4918222 9836444 12295555 24591110 27050221 49182220 54100442 108200884 135251105 270502210 541004420