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6830120 = 2351119243
BaseRepresentation
bin11010000011100000101000
3110212000011102
4122003200220
53222030440
6402220532
7112024613
oct32034050
913760142
106830120
113945630
122354748
131551abb
14c9b17a
158edb15
hex683828

6830120 has 96 divisors (see below), whose sum is σ = 18105120. Its totient is φ = 2298240.

The previous prime is 6830111. The next prime is 6830143. The reversal of 6830120 is 210386.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6830092 and 6830101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158819 + ... + 158861.

It is an arithmetic number, because the mean of its divisors is an integer number (188595).

Almost surely, 26830120 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 6830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052560).

6830120 is an abundant number, since it is smaller than the sum of its proper divisors (11275000).

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

6830120 is a wasteful number, since it uses less digits than its factorization.

6830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6830120 is about 2613.4498273355. The cubic root of 6830120 is about 189.7329581864.

The spelling of 6830120 in words is "six million, eight hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 43 44 55 76 86 88 95 110 152 172 190 209 215 220 344 361 380 418 430 440 473 722 760 817 836 860 946 1045 1444 1634 1672 1720 1805 1892 2090 2365 2888 3268 3610 3784 3971 4085 4180 4730 6536 7220 7942 8170 8360 8987 9460 14440 15523 15884 16340 17974 18920 19855 31046 31768 32680 35948 39710 44935 62092 71896 77615 79420 89870 124184 155230 158840 170753 179740 310460 341506 359480 620920 683012 853765 1366024 1707530 3415060 6830120