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6684672 = 217317
BaseRepresentation
bin11001100000000000000000
3110120121122110
4121200000000
53202402142
6355135320
7110550561
oct31400000
913517573
106684672
113856325
1222a4540
131500837
14c60168
158c099c
hex660000

6684672 has 72 divisors (see below), whose sum is σ = 18874296. Its totient is φ = 2097152.

The previous prime is 6684659. The next prime is 6684673. The reversal of 6684672 is 2764866.

Its product of digits (96768) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 6684672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684673) by changing a digit.

In principle, a polygon with 6684672 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393208 + ... + 393224.

It is an arithmetic number, because the mean of its divisors is an integer number (262143).

Almost surely, 26684672 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 6684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437148).

6684672 is an abundant number, since it is smaller than the sum of its proper divisors (12189624).

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

6684672 is an frugal number, since it uses more digits than its factorization.

6684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 22 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6684672 is about 2585.4732642207. The cubic root of 6684672 is about 188.3764901403.

The spelling of 6684672 in words is "six million, six hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 16384 17408 24576 26112 32768 34816 49152 52224 65536 69632 98304 104448 131072 139264 196608 208896 278528 393216 417792 557056 835584 1114112 1671168 2228224 3342336 6684672