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540043560 = 233257312223
BaseRepresentation
bin100000001100000…
…110100100101000
31101122012001111100
4200030012210220
52101222343220
6125331001400
716245203010
oct4014064450
91348161440
10540043560
112579277a1
12130a39260
1387b65704
1451a1ac40
1532627d90
hex20306928

540043560 has 288 divisors, whose sum is σ = 2081963520. Its totient is φ = 118920960.

The previous prime is 540043541. The next prime is 540043639. The reversal of 540043560 is 65340045.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2421609 + ... + 2421831.

It is an arithmetic number, because the mean of its divisors is an integer number (7229040).

Almost surely, 2540043560 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 540043560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040981760).

540043560 is an abundant number, since it is smaller than the sum of its proper divisors (1541919960).

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

540043560 is a wasteful number, since it uses less digits than its factorization.

540043560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 540043560 is about 23238.8373203136. The cubic root of 540043560 is about 814.3471806918.

The spelling of 540043560 in words is "five hundred forty million, forty-three thousand, five hundred sixty".