Search a number
-
+
566112330 = 232576114731
BaseRepresentation
bin100001101111100…
…011000001001010
31110110020111010100
4201233203001022
52124411043310
6132101430230
720012606160
oct4157430112
91413214110
10566112330
11270612633
1213970b376
1390392214
1455285230
1534a76ec0
hex21be304a

566112330 has 96 divisors (see below), whose sum is σ = 1709854848. Its totient is φ = 127267200.

The previous prime is 566112311. The next prime is 566112331. The reversal of 566112330 is 33211665.

It is a junction number, because it is equal to n+sod(n) for n = 566112294 and 566112303.

It is not an unprimeable number, because it can be changed into a prime (566112331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31065 + ... + 45795.

It is an arithmetic number, because the mean of its divisors is an integer number (17810988).

Almost surely, 2566112330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854927424).

566112330 is an abundant number, since it is smaller than the sum of its proper divisors (1143742518).

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

566112330 is a wasteful number, since it uses less digits than its factorization.

566112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 566112330 is about 23793.1151806568. The cubic root of 566112330 is about 827.2451024101.

Adding to 566112330 its reverse (33211665), we get a palindrome (599323995).

It can be divided in two parts, 566 and 112330, that added together give a square (112896 = 3362).

The spelling of 566112330 in words is "five hundred sixty-six million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1830 2135 2562 2745 3843 4270 5490 6405 7686 12810 14731 19215 29462 38430 44193 73655 88386 103117 132579 147310 206234 220965 265158 309351 441930 515585 618702 662895 898591 928053 1031170 1325790 1546755 1797182 1856106 2695773 3093510 4492955 4640265 5391546 6290137 8087319 8985910 9280530 12580274 13478865 16174638 18870411 26957730 31450685 37740822 40436595 56611233 62901370 80873190 94352055 113222466 188704110 283056165 566112330