Search a number
-
+
566375040 = 273257111277
BaseRepresentation
bin100001110000100…
…011001010000000
31110110201211111100
4201300203022000
52124443000130
6132111214400
720015052120
oct4160431200
91413654440
10566375040
11270781a50
12139817400
139045497a
1455312c80
1534ac9c60
hex21c23280

566375040 has 384 divisors, whose sum is σ = 2440264320. Its totient is φ = 117596160.

The previous prime is 566375039. The next prime is 566375063. The reversal of 566375040 is 40573665.

566375040 is a `hidden beast` number, since 566 + 3 + 7 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 566374986 and 566375004.

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, 442882 + ... + 444158.

It is an arithmetic number, because the mean of its divisors is an integer number (6354855).

Almost surely, 2566375040 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 566375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220132160).

566375040 is an abundant number, since it is smaller than the sum of its proper divisors (1873889280).

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

566375040 is a wasteful number, since it uses less digits than its factorization.

566375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 566375040 is about 23798.6352549889. The cubic root of 566375040 is about 827.3730463655.

The spelling of 566375040 in words is "five hundred sixty-six million, three hundred seventy-five thousand, forty".