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566216080 = 24511296269
BaseRepresentation
bin100001101111111…
…100010110010000
31110110102202102221
4201233330112100
52124422403310
6132103550424
720013520513
oct4157742620
91413382387
10566216080
11270683581
1213975b414
13903ca501
14552b0d7a
1534a97ada
hex21bfc590

566216080 has 40 divisors (see below), whose sum is σ = 1317828600. Its totient is φ = 226249728.

The previous prime is 566216071. The next prime is 566216081. The reversal of 566216080 is 80612665.

566216080 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 566059264 = 396^2 + 23792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (566216081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87186 + ... + 93454.

It is an arithmetic number, because the mean of its divisors is an integer number (32945715).

Almost surely, 2566216080 is an apocalyptic number.

It is an amenable number.

566216080 is an abundant number, since it is smaller than the sum of its proper divisors (751612520).

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

566216080 is a wasteful number, since it uses less digits than its factorization.

566216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 566216080 is about 23795.2953333217. The cubic root of 566216080 is about 827.2956350413.

It can be divided in two parts, 56621 and 6080, that multiplied together give a triangular number (344255680 = T26239).

The spelling of 566216080 in words is "five hundred sixty-six million, two hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1129 2258 4516 5645 6269 9032 11290 12538 18064 22580 25076 31345 45160 50152 62690 90320 100304 125380 250760 501520 7077701 14155402 28310804 35388505 56621608 70777010 113243216 141554020 283108040 566216080