Search a number
-
+
5666180 = 22513193137
BaseRepresentation
bin10101100111010110000100
3101122212112112
4111213112010
52422304210
6321240152
766106322
oct25472604
911585475
105666180
1132200a3
121a93058
131235090
14a76d12
1576dd05
hex567584

5666180 has 96 divisors (see below), whose sum is σ = 14300160. Its totient is φ = 1866240.

The previous prime is 5666131. The next prime is 5666189. The reversal of 5666180 is 816665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666189) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 153122 + ... + 153158.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 25666180 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 5666180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150080).

5666180 is an abundant number, since it is smaller than the sum of its proper divisors (8633980).

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

5666180 is a wasteful number, since it uses less digits than its factorization.

5666180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5666180 is about 2380.3739202067. The cubic root of 5666180 is about 178.2776041157.

The spelling of 5666180 in words is "five million, six hundred sixty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 31 37 38 52 62 65 74 76 95 124 130 148 155 185 190 247 260 310 370 380 403 481 494 589 620 703 740 806 962 988 1147 1178 1235 1406 1612 1924 2015 2294 2356 2405 2470 2812 2945 3515 4030 4588 4810 4940 5735 5890 7030 7657 8060 9139 9620 11470 11780 14060 14911 15314 18278 21793 22940 29822 30628 36556 38285 43586 45695 59644 74555 76570 87172 91390 108965 149110 153140 182780 217930 283309 298220 435860 566618 1133236 1416545 2833090 5666180