Search a number
-
+
13335808 = 28113461
BaseRepresentation
bin110010110111…
…110100000000
3221002112021211
4302313310000
511403221213
61153455504
7221231623
oct62676400
927075254
1013335808
117589432
124571594
1329bc015
141ab1dba
15128653d
hexcb7d00

13335808 has 36 divisors (see below), whose sum is σ = 26913348. Its totient is φ = 6594560.

The previous prime is 13335793. The next prime is 13335821. The reversal of 13335808 is 80853331.

It can be written as a sum of positive squares in 2 ways, for example, as 1721344 + 11614464 = 1312^2 + 3408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13335808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28698 + ... + 29158.

It is an arithmetic number, because the mean of its divisors is an integer number (747593).

Almost surely, 213335808 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 13335808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456674).

13335808 is an abundant number, since it is smaller than the sum of its proper divisors (13577540).

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

13335808 is an equidigital number, since it uses as much as digits as its factorization.

13335808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 13335808 is about 3651.8225586685. The cubic root of 13335808 is about 237.1408896007.

The spelling of 13335808 in words is "thirteen million, three hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 461 904 922 1808 1844 3616 3688 7232 7376 14464 14752 28928 29504 52093 59008 104186 118016 208372 416744 833488 1666976 3333952 6667904 13335808