Search a number
-
+
564501320 = 235173161439
BaseRepresentation
bin100001101001011…
…001101101001000
31110100012122020022
4201221121231020
52124003020240
6132003120012
716663116305
oct4151315510
91410178208
10564501320
1126a712219
12139073008
138cc49b66
1454d860ac
15348599b5
hex21a59b48

564501320 has 128 divisors (see below), whose sum is σ = 1414195200. Its totient is φ = 201830400.

The previous prime is 564501319. The next prime is 564501409. The reversal of 564501320 is 23105465.

It is a self number, because there is not a number n which added to its sum of digits gives 564501320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285661 + ... + 1286099.

It is an arithmetic number, because the mean of its divisors is an integer number (11048400).

Almost surely, 2564501320 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 564501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

564501320 is an abundant number, since it is smaller than the sum of its proper divisors (849693880).

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

564501320 is a wasteful number, since it uses less digits than its factorization.

564501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 564501320 is about 23759.2365197201. The cubic root of 564501320 is about 826.4596479823.

Adding to 564501320 its reverse (23105465), we get a palindrome (587606785).

The spelling of 564501320 in words is "five hundred sixty-four million, five hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 61 62 68 85 122 124 136 155 170 244 248 305 310 340 439 488 527 610 620 680 878 1037 1054 1220 1240 1756 1891 2074 2108 2195 2440 2635 3512 3782 4148 4216 4390 5185 5270 7463 7564 8296 8780 9455 10370 10540 13609 14926 15128 17560 18910 20740 21080 26779 27218 29852 32147 37315 37820 41480 53558 54436 59704 64294 68045 74630 75640 107116 108872 128588 133895 136090 149260 160735 214232 231353 257176 267790 272180 298520 321470 455243 462706 535580 544360 642940 830149 910486 925412 1071160 1156765 1285880 1660298 1820972 1850824 2276215 2313530 3320596 3641944 4150745 4552430 4627060 6641192 8301490 9104860 9254120 14112533 16602980 18209720 28225066 33205960 56450132 70562665 112900264 141125330 282250660 564501320