Search a number
-
+
6668928 = 27327827
BaseRepresentation
bin11001011100001010000000
3110112211001100
4121130022000
53201401203
6354534400
7110453640
oct31341200
913484040
106668928
113845512
122297400
1314c6616
14c58520
158baea3
hex65c280

6668928 has 96 divisors (see below), whose sum is σ = 21958560. Its totient is φ = 1903104.

The previous prime is 6668911. The next prime is 6668939. The reversal of 6668928 is 8298666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7651 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (228735).

Almost surely, 26668928 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 6668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979280).

6668928 is an abundant number, since it is smaller than the sum of its proper divisors (15289632).

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

6668928 is a wasteful number, since it uses less digits than its factorization.

6668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6668928 is about 2582.4267656605. The cubic root of 6668928 is about 188.2284833320.

The spelling of 6668928 in words is "six million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 827 896 1008 1152 1344 1654 2016 2481 2688 3308 4032 4962 5789 6616 7443 8064 9924 11578 13232 14886 17367 19848 23156 26464 29772 34734 39696 46312 52101 52928 59544 69468 79392 92624 104202 105856 119088 138936 158784 185248 208404 238176 277872 317568 370496 416808 476352 555744 740992 833616 952704 1111488 1667232 2222976 3334464 6668928