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6663168 = 21033241
BaseRepresentation
bin11001011010110000000000
3110112112011000
4121122300000
53201210133
6354452000
7110431101
oct31326000
913475130
106663168
113841156
122294000
1314c3b05
14c563a8
158b9413
hex65ac00

6663168 has 88 divisors (see below), whose sum is σ = 19814960. Its totient is φ = 2211840.

The previous prime is 6663121. The next prime is 6663179. The reversal of 6663168 is 8613666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27528 + ... + 27768.

It is an arithmetic number, because the mean of its divisors is an integer number (225170).

Almost surely, 26663168 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 6663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907480).

6663168 is an abundant number, since it is smaller than the sum of its proper divisors (13151792).

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

6663168 is a wasteful number, since it uses less digits than its factorization.

6663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6663168 is about 2581.3112946718. The cubic root of 6663168 is about 188.1742763012.

The spelling of 6663168 in words is "six million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 256 288 384 432 482 512 576 723 768 864 964 1024 1152 1446 1536 1728 1928 2169 2304 2892 3072 3456 3856 4338 4608 5784 6507 6912 7712 8676 9216 11568 13014 13824 15424 17352 23136 26028 27648 30848 34704 46272 52056 61696 69408 92544 104112 123392 138816 185088 208224 246784 277632 370176 416448 555264 740352 832896 1110528 1665792 2221056 3331584 6663168