Search a number
-
+
6818420 = 2257113431
BaseRepresentation
bin11010000000101001110100
3110211102010002
4122000221310
53221142140
6402050432
7111645530
oct32005164
913742102
106818420
113937864
122349a18
13154968b
14c96bc0
158ea415
hex680a74

6818420 has 48 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 2311680.

The previous prime is 6818407. The next prime is 6818429. The reversal of 6818420 is 248186.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6818429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15605 + ... + 16035.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 26818420 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 6818420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

6818420 is an abundant number, since it is smaller than the sum of its proper divisors (9728908).

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

6818420 is a wasteful number, since it uses less digits than its factorization.

6818420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 6818420 is about 2611.2104472830. The cubic root of 6818420 is about 189.6245587064.

The spelling of 6818420 in words is "six million, eight hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 431 452 565 791 862 1130 1582 1724 2155 2260 3017 3164 3955 4310 6034 7910 8620 12068 15085 15820 30170 48703 60340 97406 194812 243515 340921 487030 681842 974060 1363684 1704605 3409210 6818420