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540460360 = 235114129959
BaseRepresentation
bin100000001101101…
…100010101001000
31101122222020020101
4200031230111020
52101324212420
6125343535144
716251560116
oct4015542510
91348866211
10540460360
11258091960
12130bba4b4
1387c8033b
1451ac8ab6
15326ab60a
hex2036c548

540460360 has 64 divisors (see below), whose sum is σ = 1358985600. Its totient is φ = 191731200.

The previous prime is 540460357. The next prime is 540460373. The reversal of 540460360 is 63064045.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3061 + ... + 33019.

It is an arithmetic number, because the mean of its divisors is an integer number (21234150).

Almost surely, 2540460360 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 540460360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679492800).

540460360 is an abundant number, since it is smaller than the sum of its proper divisors (818525240).

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

540460360 is a wasteful number, since it uses less digits than its factorization.

540460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022 (or 30018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 540460360 is about 23247.8033370897. The cubic root of 540460360 is about 814.5566283779.

The spelling of 540460360 in words is "five hundred forty million, four hundred sixty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 29959 59918 119836 149795 239672 299590 329549 599180 659098 1198360 1228319 1318196 1647745 2456638 2636392 3295490 4913276 6141595 6590980 9826552 12283190 13181960 13511509 24566380 27023018 49132760 54046036 67557545 108092072 135115090 270230180 540460360