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541000040 = 23579719919
BaseRepresentation
bin100000001111110…
…000000101101000
31101200222122112112
4200033300011220
52101444000130
6125403301452
716256265410
oct4017600550
91350878475
10541000040
11258420379
1213121a888
138810bb89
1451bc9640
1532766495
hex203f0168

541000040 has 64 divisors (see below), whose sum is σ = 1405555200. Its totient is φ = 183564288.

The previous prime is 541000039. The next prime is 541000069. The reversal of 541000040 is 40000145.

541000040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 540999979 and 541000024.

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, 17201 + ... + 37119.

It is an arithmetic number, because the mean of its divisors is an integer number (21961800).

Almost surely, 2541000040 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 541000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702777600).

541000040 is an abundant number, since it is smaller than the sum of its proper divisors (864555160).

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

541000040 is a wasteful number, since it uses less digits than its factorization.

541000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20034 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 541000040 is about 23259.4075590932. The cubic root of 541000040 is about 814.8276650182.

Adding to 541000040 its reverse (40000145), we get a palindrome (581000185).

The spelling of 541000040 in words is "five hundred forty-one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 3395 3880 5432 6790 13580 19919 27160 39838 79676 99595 139433 159352 199190 278866 398380 557732 697165 796760 1115464 1394330 1932143 2788660 3864286 5577320 7728572 9660715 13525001 15457144 19321430 27050002 38642860 54100004 67625005 77285720 108200008 135250010 270500020 541000040