Search a number
-
+
5832666 = 2327217389
BaseRepresentation
bin10110001111111111011010
3101222022220200
4112033333122
52443121131
6325003030
7100401600
oct26177732
911868820
105832666
113324194
121b53476
131292aa8
14abb870
157a32e6
hex58ffda

5832666 has 72 divisors (see below), whose sum is σ = 15605460. Its totient is φ = 1564416.

The previous prime is 5832647. The next prime is 5832679. The reversal of 5832666 is 6662385.

It can be written as a sum of positive squares in 2 ways, for example, as 5832225 + 441 = 2415^2 + 21^2 .

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5832666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14800 + ... + 15188.

Almost surely, 25832666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802730).

5832666 is an abundant number, since it is smaller than the sum of its proper divisors (9772794).

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

5832666 is a wasteful number, since it uses less digits than its factorization.

5832666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5832666 is about 2415.0913026219. The cubic root of 5832666 is about 180.0068515910.

It can be divided in two parts, 583 and 2666, that added together give a square (3249 = 572).

The spelling of 5832666 in words is "five million, eight hundred thirty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 389 441 714 778 833 882 1071 1167 1666 2142 2334 2499 2723 3501 4998 5446 6613 7002 7497 8169 13226 14994 16338 19061 19839 24507 38122 39678 46291 49014 57183 59517 92582 114366 119034 138873 171549 277746 324037 343098 416619 648074 833238 972111 1944222 2916333 5832666