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540626360 = 235311572777
BaseRepresentation
bin100000001110010…
…100110110111000
31101200021122221112
4200032110312320
52101400020420
6125351255452
716253151101
oct4016246670
91350248845
10540626360
1125819564a
1213107a588
138800aa71
1451b2d3a8
15326e08c5
hex20394db8

540626360 has 64 divisors (see below), whose sum is σ = 1264101120. Its totient is φ = 207866880.

The previous prime is 540626353. The next prime is 540626377. The reversal of 540626360 is 63626045.

It is a super-2 number, since 2×5406263602 = 584553722253699200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 193292 + ... + 196068.

It is an arithmetic number, because the mean of its divisors is an integer number (19751580).

Almost surely, 2540626360 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 540626360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632050560).

540626360 is an abundant number, since it is smaller than the sum of its proper divisors (723474760).

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

540626360 is a wasteful number, since it uses less digits than its factorization.

540626360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 540626360 is about 23251.3732927756. The cubic root of 540626360 is about 814.6400156585.

The spelling of 540626360 in words is "five hundred forty million, six hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 157 248 310 314 620 628 785 1240 1256 1570 2777 3140 4867 5554 6280 9734 11108 13885 19468 22216 24335 27770 38936 48670 55540 86087 97340 111080 172174 194680 344348 430435 435989 688696 860870 871978 1721740 1743956 2179945 3443480 3487912 4359890 8719780 13515659 17439560 27031318 54062636 67578295 108125272 135156590 270313180 540626360