[go: up one dir, main page]

Search a number
-
+
5395830 = 2351183197
BaseRepresentation
bin10100100101010101110110
3101011010200120
4110211111312
52340131310
6311352410
763602166
oct24452566
911133616
105395830
113055a70
121982706
13116bccb
14a065a6
15718b70
hex525576

5395830 has 64 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 1285760.

The previous prime is 5395813. The next prime is 5395837. The reversal of 5395830 is 385935.

It is a super-2 number, since 2×53958302 = 58229962777800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5395791 and 5395800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5395837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27292 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (224532).

Almost surely, 25395830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5395830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

5395830 is an abundant number, since it is smaller than the sum of its proper divisors (8974218).

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

5395830 is a wasteful number, since it uses less digits than its factorization.

5395830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5395830 is about 2322.8925932983. The cubic root of 5395830 is about 175.3958928338.

The spelling of 5395830 in words is "five million, three hundred ninety-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 197 249 330 394 415 498 591 830 913 985 1182 1245 1826 1970 2167 2490 2739 2955 4334 4565 5478 5910 6501 9130 10835 13002 13695 16351 21670 27390 32505 32702 49053 65010 81755 98106 163510 179861 245265 359722 490530 539583 899305 1079166 1798610 2697915 5395830