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5666000 = 24532833
BaseRepresentation
bin10101100111010011010000
3101122212021212
4111213103100
52422303000
6321235252
766105644
oct25472320
911585255
105666000
11321aa4a
121a92b28
131234c82
14a76c24
1576dc35
hex5674d0

5666000 has 40 divisors (see below), whose sum is σ = 13705224. Its totient is φ = 2265600.

The previous prime is 5665997. The next prime is 5666021. The reversal of 5666000 is 6665.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 5271616 = 628^2 + 2296^2 .

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

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584 + ... + 3416.

Almost surely, 25666000 is an apocalyptic number.

5666000 is a gapful number since it is divisible by the number (50) 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 5666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852612).

5666000 is an abundant number, since it is smaller than the sum of its proper divisors (8039224).

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

5666000 is a wasteful number, since it uses less digits than its factorization.

5666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5666000 is about 2380.3361107205. The cubic root of 5666000 is about 178.2757162884.

The spelling of 5666000 in words is "five million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2833 5666 11332 14165 22664 28330 45328 56660 70825 113320 141650 226640 283300 354125 566600 708250 1133200 1416500 2833000 5666000