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541401036 = 2231114927527
BaseRepresentation
bin100000010001010…
…001111111001100
31101201202000121020
4200101101333030
52102044313121
6125420034140
716262555451
oct4021217714
91351660536
10541401036
11258674680
12131392950
138821c557
1451c91828
15327e51c6
hex20451fcc

541401036 has 48 divisors (see below), whose sum is σ = 1387411200. Its totient is φ = 162953920.

The previous prime is 541401031. The next prime is 541401043. The reversal of 541401036 is 630104145.

It is a junction number, because it is equal to n+sod(n) for n = 541400997 and 541401015.

It is not an unprimeable number, because it can be changed into a prime (541401031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5905 + ... + 33431.

It is an arithmetic number, because the mean of its divisors is an integer number (28904400).

Almost surely, 2541401036 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 541401036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693705600).

541401036 is an abundant number, since it is smaller than the sum of its proper divisors (846010164).

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

541401036 is a wasteful number, since it uses less digits than its factorization.

541401036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694 (or 27692 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 541401036 is about 23268.0260443382. The cubic root of 541401036 is about 815.0289354525.

The spelling of 541401036 in words is "five hundred forty-one million, four hundred one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 19668 27527 55054 82581 110108 165162 302797 330324 605594 908391 1211188 1816782 3633564 4101523 8203046 12304569 16406092 24609138 45116753 49218276 90233506 135350259 180467012 270700518 541401036