Search a number
-
+
540054090 = 232550911789
BaseRepresentation
bin100000001100001…
…001001001001010
31101122012120221100
4200030021021022
52101223212330
6125331122230
716245245502
oct4014111112
91348176840
10540054090
112579346a4
12130a43376
1387b6a444
1451a20a02
153262b060
hex2030924a

540054090 has 48 divisors (see below), whose sum is σ = 1407018600. Its totient is φ = 143719296.

The previous prime is 540054083. The next prime is 540054101. The reversal of 540054090 is 90450045.

It can be written as a sum of positive squares in 4 ways, for example, as 366684201 + 173369889 = 19149^2 + 13167^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39916 + ... + 51704.

Almost surely, 2540054090 is an apocalyptic number.

540054090 is an abundant number, since it is smaller than the sum of its proper divisors (866964510).

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

540054090 is a wasteful number, since it uses less digits than its factorization.

540054090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540054090 is about 23239.0638795972. The cubic root of 540054090 is about 814.3524734872.

The spelling of 540054090 in words is "five hundred forty million, fifty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 509 1018 1527 2545 3054 4581 5090 7635 9162 11789 15270 22905 23578 35367 45810 58945 70734 106101 117890 176835 212202 353670 530505 1061010 6000601 12001202 18001803 30003005 36003606 54005409 60006010 90009015 108010818 180018030 270027045 540054090