Search a number
-
+
11132608 = 26473701
BaseRepresentation
bin101010011101…
…111011000000
3202221121001211
4222131323000
510322220413
61034335504
7163424404
oct52357300
922847054
1011132608
116314103
12388a594
1323ca256
14169b104
15e9d83d
hexa9dec0

11132608 has 28 divisors (see below), whose sum is σ = 22567392. Its totient is φ = 5446400.

The previous prime is 11132599. The next prime is 11132609. The reversal of 11132608 is 80623111.

11132608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11132609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1158 + ... + 4858.

Almost surely, 211132608 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 11132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11283696).

11132608 is an abundant number, since it is smaller than the sum of its proper divisors (11434784).

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

11132608 is an equidigital number, since it uses as much as digits as its factorization.

11132608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11132608 is about 3336.5563085313. The cubic root of 11132608 is about 223.2881312444.

Adding to 11132608 its reverse (80623111), we get a palindrome (91755719).

It can be divided in two parts, 1113 and 2608, that added together give a square (3721 = 612).

The spelling of 11132608 in words is "eleven million, one hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 3701 7402 14804 29608 59216 118432 173947 236864 347894 695788 1391576 2783152 5566304 11132608