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540663580 = 225177122397
BaseRepresentation
bin100000001110011…
…101111100011100
31101200100120000001
4200032131330130
52101402213310
6125352144044
716253364442
oct4016357434
91350316001
10540663580
11258210606
12131098024
13880219a2
1451b3cb92
15326eb93a
hex2039df1c

540663580 has 48 divisors (see below), whose sum is σ = 1219167936. Its totient is φ = 200668160.

The previous prime is 540663527. The next prime is 540663589. The reversal of 540663580 is 85366045.

540663580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540663589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12942 + ... + 35338.

It is an arithmetic number, because the mean of its divisors is an integer number (25399332).

Almost surely, 2540663580 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 540663580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609583968).

540663580 is an abundant number, since it is smaller than the sum of its proper divisors (678504356).

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

540663580 is a wasteful number, since it uses less digits than its factorization.

540663580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22494 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 540663580 is about 23252.1736618321. The cubic root of 540663580 is about 814.6587101505.

It can be divided in two parts, 5406 and 63580, that added together give a palindrome (68986).

The spelling of 540663580 in words is "five hundred forty million, six hundred sixty-three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 12070 22397 24140 44794 89588 111985 223970 380749 447940 761498 1522996 1590187 1903745 3180374 3807490 6360748 7614980 7950935 15901870 27033179 31803740 54066358 108132716 135165895 270331790 540663580