Search a number
-
+
6306020 = 2257311453
BaseRepresentation
bin11000000011100011100100
3102212101020022
4120003203210
53103243040
6343054312
7104412620
oct30034344
912771208
106306020
113617896
122141398
1313ca396
14ba2180
158486b5
hex6038e4

6306020 has 48 divisors (see below), whose sum is σ = 15633408. Its totient is φ = 2090880.

The previous prime is 6305987. The next prime is 6306029. The reversal of 6306020 is 206036.

It is a self number, because there is not a number n which added to its sum of digits gives 6306020.

It is not an unprimeable number, because it can be changed into a prime (6306029) 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, 3614 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (325696).

Almost surely, 26306020 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 6306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816704).

6306020 is an abundant number, since it is smaller than the sum of its proper divisors (9327388).

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

6306020 is a wasteful number, since it uses less digits than its factorization.

6306020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 6306020 is about 2511.1790059651. The cubic root of 6306020 is about 184.7502839720.

The spelling of 6306020 in words is "six million, three hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1453 2170 2906 4340 5812 7265 10171 14530 20342 29060 40684 45043 50855 90086 101710 180172 203420 225215 315301 450430 630602 900860 1261204 1576505 3153010 6306020