Search a number
-
+
5345780 = 225112472
BaseRepresentation
bin10100011001000111110100
3101001121000212
4110121013310
52332031110
6310324552
763303236
oct24310764
911047025
105345780
113021400
121959758
1311522ab
149d2256
15708e05
hex5191f4

5345780 has 54 divisors (see below), whose sum is σ = 12607602. Its totient is φ = 1902560.

The previous prime is 5345777. The next prime is 5345789. The reversal of 5345780 is 875435.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4276624 + 1069156 = 2068^2 + 1034^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345789) 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 17 ways as a sum of consecutive naturals, for example, 113717 + ... + 113763.

Almost surely, 25345780 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 5345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303801).

5345780 is an abundant number, since it is smaller than the sum of its proper divisors (7261822).

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

5345780 is a wasteful number, since it uses less digits than its factorization.

5345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 5345780 is about 2312.0942887348. The cubic root of 5345780 is about 174.8519019146.

The spelling of 5345780 in words is "five million, three hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 121 188 220 235 242 470 484 517 605 940 1034 1210 2068 2209 2420 2585 4418 5170 5687 8836 10340 11045 11374 22090 22748 24299 28435 44180 48598 56870 97196 113740 121495 242990 267289 485980 534578 1069156 1336445 2672890 5345780