Search a number
-
+
5849340 = 2235719733
BaseRepresentation
bin10110010100000011111100
3102000011210020
4112110003330
52444134330
6325212140
7100501320
oct26240374
912004706
105849340
113335772
121b61050
13129a563
14ac3980
157a8210
hex5940fc

5849340 has 96 divisors (see below), whose sum is σ = 19729920. Its totient is φ = 1264896.

The previous prime is 5849323. The next prime is 5849341. The reversal of 5849340 is 439485.

5849340 = T147 + T148 + ... + T336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5849341) 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, 7614 + ... + 8346.

It is an arithmetic number, because the mean of its divisors is an integer number (205520).

Almost surely, 25849340 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 5849340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864960).

5849340 is an abundant number, since it is smaller than the sum of its proper divisors (13880580).

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

5849340 is a wasteful number, since it uses less digits than its factorization.

5849340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5849340 is about 2418.5408824330. The cubic root of 5849340 is about 180.1782185488.

The spelling of 5849340 in words is "five million, eight hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 733 798 1140 1330 1466 1596 1995 2199 2660 2932 3665 3990 4398 5131 7330 7980 8796 10262 10995 13927 14660 15393 20524 21990 25655 27854 30786 41781 43980 51310 55708 61572 69635 76965 83562 97489 102620 139270 153930 167124 194978 208905 278540 292467 307860 389956 417810 487445 584934 835620 974890 1169868 1462335 1949780 2924670 5849340