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540110220 = 2235134116889
BaseRepresentation
bin100000001100010…
…110110110001100
31101122022102221020
4200030112312030
52101232011340
6125332234140
716245601236
oct4014266614
91348272836
10540110220
11257972891
12130a6b950
1387b89b60
1451a37256
153263c9d0
hex20316d8c

540110220 has 96 divisors (see below), whose sum is σ = 1668461760. Its totient is φ = 129699840.

The previous prime is 540110183. The next prime is 540110257. The reversal of 540110220 is 22011045.

It is an interprime number because it is at equal distance from previous prime (540110183) and next prime (540110257).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 540110220.

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, 23536 + ... + 40424.

It is an arithmetic number, because the mean of its divisors is an integer number (17379810).

Almost surely, 2540110220 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 540110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834230880).

540110220 is an abundant number, since it is smaller than the sum of its proper divisors (1128351540).

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

540110220 is a wasteful number, since it uses less digits than its factorization.

540110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16955 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 540110220 is about 23240.2715130439. The cubic root of 540110220 is about 814.3806854889.

Adding to 540110220 its reverse (22011045), we get a palindrome (562121265).

The spelling of 540110220 in words is "five hundred forty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 16889 31980 33778 50667 67556 84445 101334 168890 202668 219557 253335 337780 439114 506670 658671 692449 878228 1013340 1097785 1317342 1384898 2077347 2195570 2634684 2769796 3293355 3462245 4154694 4391140 6586710 6924490 8309388 9001837 10386735 13173420 13848980 18003674 20773470 27005511 36007348 41546940 45009185 54011022 90018370 108022044 135027555 180036740 270055110 540110220