Search a number
-
+
540130112 = 2631614463
BaseRepresentation
bin100000001100011…
…011101101000000
31101122100110012222
4200030123231000
52101233130422
6125332510212
716246013234
oct4014335500
91348313188
10540130112
11257986825
12130a7b368
1387b95c22
1451a405c4
1532643842
hex2031bb40

540130112 has 56 divisors (see below), whose sum is σ = 1124785152. Its totient is φ = 257011200.

The previous prime is 540130099. The next prime is 540130147. The reversal of 540130112 is 211031045.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 118793 + ... + 123255.

Almost surely, 2540130112 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 540130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562392576).

540130112 is an abundant number, since it is smaller than the sum of its proper divisors (584655040).

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

540130112 is a wasteful number, since it uses less digits than its factorization.

540130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 540130112 is about 23240.6994731226. The cubic root of 540130112 is about 814.3906831160.

Adding to 540130112 its reverse (211031045), we get a palindrome (751161157).

The spelling of 540130112 in words is "five hundred forty million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 61 62 64 122 124 244 248 488 496 976 992 1891 1952 1984 3782 3904 4463 7564 8926 15128 17852 30256 35704 60512 71408 121024 138353 142816 272243 276706 285632 544486 553412 1088972 1106824 2177944 2213648 4355888 4427296 8439533 8711776 8854592 16879066 17423552 33758132 67516264 135032528 270065056 540130112