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541211132 = 227117124749
BaseRepresentation
bin100000010000100…
…011100111111100
31101201101101002202
4200100203213330
52102022224012
6125412011032
716261135010
oct4020434774
91351341082
10541211132
11258554a30
12131300a78
1388183c97
1451c42540
15327a8cc2
hex204239fc

541211132 has 48 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 207883200.

The previous prime is 541211107. The next prime is 541211147. The reversal of 541211132 is 231112145.

It is a congruent number.

It is an unprimeable number.

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, 9494 + ... + 34242.

It is an arithmetic number, because the mean of its divisors is an integer number (24948000).

Almost surely, 2541211132 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 541211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

541211132 is an abundant number, since it is smaller than the sum of its proper divisors (656292868).

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

541211132 is a wasteful number, since it uses less digits than its factorization.

541211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24842 (or 24840 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 541211132 is about 23263.9448933323. The cubic root of 541211132 is about 814.9336300351.

Adding to 541211132 its reverse (231112145), we get a palindrome (772323277).

The spelling of 541211132 in words is "five hundred forty-one million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 10934 21868 24749 49498 98996 173243 272239 346486 544478 692972 1088956 1757179 1905673 3514358 3811346 7028716 7622692 12300253 19328969 24600506 38657938 49201012 77315876 135302783 270605566 541211132