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6664128 = 26361569
BaseRepresentation
bin11001011010111111000000
3110112120110120
4121122333000
53201223003
6354500240
7110433642
oct31327700
913476416
106664128
113841949
122294680
1314c4393
14c56892
158b9853
hex65afc0

6664128 has 56 divisors (see below), whose sum is σ = 17952720. Its totient is φ = 2181120.

The previous prime is 6664121. The next prime is 6664139. The reversal of 6664128 is 8214666.

It is a happy number.

6664128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11428 + ... + 11996.

Almost surely, 26664128 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 6664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976360).

6664128 is an abundant number, since it is smaller than the sum of its proper divisors (11288592).

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

6664128 is a wasteful number, since it uses less digits than its factorization.

6664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6664128 is about 2581.4972399753. The cubic root of 6664128 is about 188.1833129752.

The spelling of 6664128 in words is "six million, six hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 569 732 976 1138 1464 1707 1952 2276 2928 3414 3904 4552 5856 6828 9104 11712 13656 18208 27312 34709 36416 54624 69418 104127 109248 138836 208254 277672 416508 555344 833016 1110688 1666032 2221376 3332064 6664128