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540048300 = 2235211374423
BaseRepresentation
bin100000001100000…
…111101110101100
31101122012021222220
4200030013232230
52101223021200
6125331035340
716245222561
oct4014075654
91348167886
10540048300
11257930310
12130a3bb50
1387b6790c
1451a1c868
15326294a0
hex20307bac

540048300 has 144 divisors (see below), whose sum is σ = 1751054592. Its totient is φ = 127353600.

The previous prime is 540048287. The next prime is 540048307. The reversal of 540048300 is 3840045.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (540048307) 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 47 ways as a sum of consecutive naturals, for example, 119889 + ... + 124311.

Almost surely, 2540048300 is an apocalyptic number.

540048300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540048300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875527296).

540048300 is an abundant number, since it is smaller than the sum of its proper divisors (1211006292).

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

540048300 is a wasteful number, since it uses less digits than its factorization.

540048300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540048300 is about 23238.9393045380. The cubic root of 540048300 is about 814.3495632122.

Adding to 540048300 its reverse (3840045), we get a palindrome (543888345).

The spelling of 540048300 in words is "five hundred forty million, forty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4423 4884 5550 6105 8140 8846 10175 11100 12210 13269 17692 20350 22115 24420 26538 30525 40700 44230 48653 53076 61050 66345 88460 97306 110575 122100 132690 145959 163651 194612 221150 243265 265380 291918 327302 331725 442300 486530 490953 583836 654604 663450 729795 818255 973060 981906 1216325 1326900 1459590 1636510 1800161 1963812 2432650 2454765 2919180 3273020 3600322 3648975 4091275 4865300 4909530 5400483 7200644 7297950 8182550 9000805 9819060 10800966 12273825 14595900 16365100 18001610 21601932 24547650 27002415 36003220 45004025 49095300 54004830 90008050 108009660 135012075 180016100 270024150 540048300