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540239000 = 23537711087
BaseRepresentation
bin100000001100110…
…110010010011000
31101122112222120212
4200030312102120
52101300122000
6125335110252
716246645550
oct4014662230
91348488525
10540239000
11257a50614
12130b12388
1387c03662
1451a6c160
1532665c35
hex20336498

540239000 has 128 divisors (see below), whose sum is σ = 1466449920. Its totient is φ = 182448000.

The previous prime is 540238957. The next prime is 540239003. The reversal of 540239000 is 932045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540239003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 496457 + ... + 497543.

It is an arithmetic number, because the mean of its divisors is an integer number (11456640).

Almost surely, 2540239000 is an apocalyptic number.

540239000 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 540239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733224960).

540239000 is an abundant number, since it is smaller than the sum of its proper divisors (926210920).

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

540239000 is a wasteful number, since it uses less digits than its factorization.

540239000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 540239000 is about 23243.0419695874. The cubic root of 540239000 is about 814.4454053718.

The spelling of 540239000 in words is "five hundred forty million, two hundred thirty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 175 200 250 280 284 350 355 497 500 568 700 710 875 994 1000 1087 1400 1420 1750 1775 1988 2174 2485 2840 3500 3550 3976 4348 4970 5435 7000 7100 7609 8696 8875 9940 10870 12425 14200 15218 17750 19880 21740 24850 27175 30436 35500 38045 43480 49700 54350 60872 62125 71000 76090 77177 99400 108700 124250 135875 152180 154354 190225 217400 248500 271750 304360 308708 380450 385885 497000 540239 543500 617416 760900 771770 951125 1080478 1087000 1521800 1543540 1902250 1929425 2160956 2701195 3087080 3804500 3858850 4321912 5402390 7609000 7717700 9647125 10804780 13505975 15435400 19294250 21609560 27011950 38588500 54023900 67529875 77177000 108047800 135059750 270119500 540239000