Search a number
-
+
566200656 = 243273311697
BaseRepresentation
bin100001101111111…
…000100101010000
31110110101222021200
4201233320211100
52124421410111
6132103351200
720013424530
oct4157704520
91413358250
10566200656
11270672a2a
12139752500
13903c3498
14552a94c0
1534a93256
hex21bf8950

566200656 has 120 divisors (see below), whose sum is σ = 1817484864. Its totient is φ = 161187840.

The previous prime is 566200633. The next prime is 566200673. The reversal of 566200656 is 656002665.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 566200656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332800 + ... + 334496.

Almost surely, 2566200656 is an apocalyptic number.

566200656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566200656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908742432).

566200656 is an abundant number, since it is smaller than the sum of its proper divisors (1251284208).

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

566200656 is a wasteful number, since it uses less digits than its factorization.

566200656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 566200656 is about 23794.9712334350. The cubic root of 566200656 is about 827.2881229953.

The spelling of 566200656 in words is "five hundred sixty-six million, two hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 331 336 504 662 993 1008 1324 1697 1986 2317 2648 2979 3394 3972 4634 5091 5296 5958 6788 6951 7944 9268 10182 11879 11916 13576 13902 15273 15888 18536 20364 20853 23758 23832 27152 27804 30546 35637 37072 40728 41706 47516 47664 55608 61092 71274 81456 83412 95032 106911 111216 122184 142548 166824 190064 213822 244368 285096 333648 427644 561707 570192 855288 1123414 1685121 1710576 2246828 3370242 3931949 4493656 5055363 6740484 7863898 8987312 10110726 11795847 13480968 15727796 20221452 23591694 26961936 31455592 35387541 40442904 47183388 62911184 70775082 80885808 94366776 141550164 188733552 283100328 566200656