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6979104 = 2532112203
BaseRepresentation
bin11010100111111000100000
3111010120112100
4122213320200
53241312404
6405330400
7113215146
oct32477040
914116470
106979104
113a37560
122406a00
1315a4862
14cd9596
1592cd39
hex6a7e20

6979104 has 72 divisors (see below), whose sum is σ = 21660912. Its totient is φ = 2113920.

The previous prime is 6979103. The next prime is 6979117. The reversal of 6979104 is 4019796.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6979103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2067 + ... + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (300846).

Almost surely, 26979104 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 6979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830456).

6979104 is an abundant number, since it is smaller than the sum of its proper divisors (14681808).

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

6979104 is a wasteful number, since it uses less digits than its factorization.

6979104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 6979104 is about 2641.7993867817. The cubic root of 6979104 is about 191.1025827975.

It can be divided in two parts, 697 and 9104, that added together give a square (9801 = 992).

The spelling of 6979104 in words is "six million, nine hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2203 3168 4406 6609 8812 13218 17624 19827 24233 26436 35248 39654 48466 52872 70496 72699 79308 96932 105744 145398 158616 193864 211488 218097 290796 317232 387728 436194 581592 634464 775456 872388 1163184 1744776 2326368 3489552 6979104