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540327216 = 2431113223353
BaseRepresentation
bin100000001101001…
…011110100110000
31101122201110121010
4200031023310300
52101310432331
6125341030520
716250464002
oct4015136460
91348643533
10540327216
11258000920
12130b55440
1387c34860
1451a92372
1532681e46
hex2034bd30

540327216 has 160 divisors (see below), whose sum is σ = 1651894272. Its totient is φ = 150036480.

The previous prime is 540327197. The next prime is 540327223. The reversal of 540327216 is 612723045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530496 + ... + 1530848.

Almost surely, 2540327216 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 540327216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825947136).

540327216 is an abundant number, since it is smaller than the sum of its proper divisors (1111567056).

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

540327216 is a wasteful number, since it uses less digits than its factorization.

540327216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 540327216 is about 23244.9395783254. The cubic root of 540327216 is about 814.4897334103.

The spelling of 540327216 in words is "five hundred forty million, three hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 223 264 286 312 353 429 446 528 572 624 669 706 858 892 1059 1144 1338 1412 1716 1784 2118 2288 2453 2676 2824 2899 3432 3568 3883 4236 4589 4906 5352 5648 5798 6864 7359 7766 8472 8697 9178 9812 10704 11596 11649 13767 14718 15532 16944 17394 18356 19624 23192 23298 27534 29436 31064 31889 34788 36712 39248 46384 46596 50479 55068 58872 62128 63778 69576 73424 78719 93192 95667 100958 110136 117744 127556 139152 151437 157438 186384 191334 201916 220272 236157 255112 302874 314876 382668 403832 472314 510224 605748 629752 765336 807664 865909 944628 1023347 1211496 1259504 1530672 1731818 1889256 2046694 2422992 2597727 3070041 3463636 3778512 4093388 5195454 6140082 6927272 8186776 10390908 11256817 12280164 13854544 16373552 20781816 22513634 24560328 33770451 41563632 45027268 49120656 67540902 90054536 135081804 180109072 270163608 540327216