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6830960 = 245103829
BaseRepresentation
bin11010000011101101110000
3110212001022112
4122003231300
53222042320
6402224452
7112030223
oct32035560
913761275
106830960
113946224
122355128
1315522b6
14c9b5ba
158edec5
hex683b70

6830960 has 40 divisors (see below), whose sum is σ = 16055520. Its totient is φ = 2702592.

The previous prime is 6830959. The next prime is 6831007. The reversal of 6830960 is 690386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7826 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (401388).

Almost surely, 26830960 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 6830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027760).

6830960 is an abundant number, since it is smaller than the sum of its proper divisors (9224560).

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

6830960 is a wasteful number, since it uses less digits than its factorization.

6830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 6830960 is about 2613.6105295166. The cubic root of 6830960 is about 189.7407359488.

The spelling of 6830960 in words is "six million, eight hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 829 1030 1648 1658 2060 3316 4120 4145 6632 8240 8290 13264 16580 33160 66320 85387 170774 341548 426935 683096 853870 1366192 1707740 3415480 6830960