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561001220 = 2251319243139
BaseRepresentation
bin100001011100000…
…011001100000100
31110002121210222222
4201130003030010
52122104014340
6131400111512
716621301033
oct4134031404
91402553888
10561001220
1126874157a
12137a65598
138c2c29b0
145471471a
15343b78b5
hex21703304

561001220 has 144 divisors (see below), whose sum is σ = 1380012480. Its totient is φ = 190294272.

The previous prime is 561001171. The next prime is 561001247. The reversal of 561001220 is 22100165.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4035911 + ... + 4036049.

It is an arithmetic number, because the mean of its divisors is an integer number (9583420).

Almost surely, 2561001220 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 561001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690006240).

561001220 is an abundant number, since it is smaller than the sum of its proper divisors (819011260).

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

561001220 is a wasteful number, since it uses less digits than its factorization.

561001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 561001220 is about 23685.4643188602. The cubic root of 561001220 is about 824.7479952679.

Adding to 561001220 its reverse (22100165), we get a palindrome (583101385).

The spelling of 561001220 in words is "five hundred sixty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 43 52 65 76 86 95 130 139 172 190 215 247 260 278 361 380 430 494 556 559 695 722 817 860 988 1118 1235 1390 1444 1634 1805 1807 2236 2470 2641 2780 2795 3268 3610 3614 4085 4693 4940 5282 5590 5977 7220 7228 8170 9035 9386 10564 10621 11180 11954 13205 15523 16340 18070 18772 21242 23465 23908 26410 29885 31046 34333 36140 42484 46930 50179 52820 53105 59770 62092 68666 77615 77701 93860 100358 106210 113563 119540 137332 155230 155402 171665 200716 201799 212420 227126 250895 310460 310804 343330 388505 403598 454252 501790 567815 652327 686660 777010 807196 1003580 1008995 1135630 1304654 1476319 1554020 2017990 2157697 2271260 2609308 2952638 3261635 4035980 4315394 5905276 6523270 7381595 8630788 10788485 13046540 14763190 21576970 28050061 29526380 43153940 56100122 112200244 140250305 280500610 561001220