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6830080 = 21152329
BaseRepresentation
bin11010000011100000000000
3110212000002221
4122003200000
53222030310
6402220424
7112024525
oct32034000
913760087
106830080
1139455a4
122354714
131551a8a
14c9b14c
158edada
hex683800

6830080 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 2523136.

The previous prime is 6830071. The next prime is 6830081. The reversal of 6830080 is 800386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235506 + ... + 235534.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 26830080 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 6830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

6830080 is an abundant number, since it is smaller than the sum of its proper divisors (10860320).

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

6830080 is a wasteful number, since it uses less digits than its factorization.

6830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6830080 is about 2613.4421746042. The cubic root of 6830080 is about 189.7325878008.

The spelling of 6830080 in words is "six million, eight hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 512 580 640 667 736 920 928 1024 1160 1280 1334 1472 1840 1856 2048 2320 2560 2668 2944 3335 3680 3712 4640 5120 5336 5888 6670 7360 7424 9280 10240 10672 11776 13340 14720 14848 18560 21344 23552 26680 29440 29696 37120 42688 47104 53360 58880 59392 74240 85376 106720 117760 148480 170752 213440 235520 296960 341504 426880 683008 853760 1366016 1707520 3415040 6830080