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6668480 = 265713229
BaseRepresentation
bin11001011100000011000000
3110112210102202
4121130003000
53201342410
6354532332
7110452430
oct31340300
913483382
106668480
113845145
1222970a8
1314c6360
14c582c0
158baca5
hex65c0c0

6668480 has 112 divisors (see below), whose sum is σ = 19629120. Its totient is φ = 2101248.

The previous prime is 6668461. The next prime is 6668507. The reversal of 6668480 is 848666.

6668480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29006 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (175260).

Almost surely, 26668480 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 6668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814560).

6668480 is an abundant number, since it is smaller than the sum of its proper divisors (12960640).

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

6668480 is a wasteful number, since it uses less digits than its factorization.

6668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6668480 is about 2582.3400240867. The cubic root of 6668480 is about 188.2242683493.

The spelling of 6668480 in words is "six million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 229 260 280 320 364 416 448 455 458 520 560 728 832 910 916 1040 1120 1145 1456 1603 1820 1832 2080 2240 2290 2912 2977 3206 3640 3664 4160 4580 5824 5954 6412 7280 7328 8015 9160 11908 12824 14560 14656 14885 16030 18320 20839 23816 25648 29120 29770 32060 36640 41678 47632 51296 59540 64120 73280 83356 95264 102592 104195 119080 128240 166712 190528 208390 238160 256480 333424 416780 476320 512960 666848 833560 952640 1333696 1667120 3334240 6668480