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540100944 = 24323750701
BaseRepresentation
bin100000001100010…
…100100101010000
31101122021222012200
4200030110211100
52101231212234
6125332123200
716245532215
oct4014244520
91348258180
10540100944
11257966919
12130a66500
1387b85876
1451a33b0c
1532639d99
hex20314950

540100944 has 30 divisors (see below), whose sum is σ = 1511532906. Its totient is φ = 180033600.

The previous prime is 540100937. The next prime is 540100963. The reversal of 540100944 is 449001045.

It can be written as a sum of positive squares in only one way, i.e., 520387344 + 19713600 = 22812^2 + 4440^2 .

It is a super-2 number, since 2×5401009442 = 583418059419382272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875207 + ... + 1875494.

Almost surely, 2540100944 is an apocalyptic number.

It is an amenable number.

540100944 is an abundant number, since it is smaller than the sum of its proper divisors (971431962).

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

540100944 is a wasteful number, since it uses less digits than its factorization.

540100944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750715 (or 3750706 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540100944 is about 23240.0719448112. The cubic root of 540100944 is about 814.3760233304.

Adding to 540100944 its reverse (449001045), we get a palindrome (989101989).

The spelling of 540100944 in words is "five hundred forty million, one hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3750701 7501402 11252103 15002804 22504206 30005608 33756309 45008412 60011216 67512618 90016824 135025236 180033648 270050472 540100944