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540017220 = 223537435657
BaseRepresentation
bin100000001100000…
…000001001000100
31101122010201100210
4200030000021010
52101221022340
6125330235420
716245033141
oct4014001104
91348121323
10540017220
11257909a26
12130a25b70
1387b56722
1451a113c8
1532620180
hex20300244

540017220 has 96 divisors (see below), whose sum is σ = 1589309568. Its totient is φ = 136829952.

The previous prime is 540017197. The next prime is 540017227. The reversal of 540017220 is 22710045.

It is not an unprimeable number, because it can be changed into a prime (540017227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92632 + ... + 98288.

It is an arithmetic number, because the mean of its divisors is an integer number (16555308).

Almost surely, 2540017220 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 540017220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794654784).

540017220 is an abundant number, since it is smaller than the sum of its proper divisors (1049292348).

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

540017220 is a wasteful number, since it uses less digits than its factorization.

540017220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 540017220 is about 23238.2705896975. The cubic root of 540017220 is about 814.3339408626. Note that the first 3 decimals are identical.

Adding to 540017220 its reverse (22710045), we get a palindrome (562727265).

The spelling of 540017220 in words is "five hundred forty million, seventeen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 5657 6364 7955 9546 11314 15910 16971 19092 22628 23865 28285 31820 33942 47730 56570 67884 84855 95460 113140 169710 209309 243251 339420 418618 486502 627927 729753 837236 973004 1046545 1216255 1255854 1459506 2093090 2432510 2511708 2919012 3139635 3648765 4186180 4865020 6279270 7297530 9000287 12558540 14595060 18000574 27000861 36001148 45001435 54001722 90002870 108003444 135004305 180005740 270008610 540017220