Search a number
-
+
5766330 = 2352361137
BaseRepresentation
bin10101111111110010111010
3101211221220210
4111333302322
52434010310
6323331550
7100004313
oct25776272
911757823
105766330
113289369
121b20bb6
13126b83b
14aa160a
1578d820
hex57fcba

5766330 has 64 divisors (see below), whose sum is σ = 14784768. Its totient is φ = 1436160.

The previous prime is 5766323. The next prime is 5766361. The reversal of 5766330 is 336675.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 59 + 72 + 65 + 68 + 312 + 313 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42022 + ... + 42158.

It is an arithmetic number, because the mean of its divisors is an integer number (231012).

Almost surely, 25766330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392384).

5766330 is an abundant number, since it is smaller than the sum of its proper divisors (9018438).

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

5766330 is a wasteful number, since it uses less digits than its factorization.

5766330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 5766330 is about 2401.3183878861. The cubic root of 5766330 is about 179.3218308505.

The spelling of 5766330 in words is "five million, seven hundred sixty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 137 138 183 230 274 305 345 366 411 610 685 690 822 915 1370 1403 1830 2055 2806 3151 4110 4209 6302 7015 8357 8418 9453 14030 15755 16714 18906 21045 25071 31510 41785 42090 47265 50142 83570 94530 125355 192211 250710 384422 576633 961055 1153266 1922110 2883165 5766330