Search a number
-
+
11236288 = 26723583
BaseRepresentation
bin101010110111…
…001111000000
3210010212021211
4222313033000
510334030123
61040455504
7164335600
oct52671700
923125254
1011236288
116384a98
12391a594
1324354bb
1416c6c00
15ebe40d
hexab73c0

11236288 has 42 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 4814208.

The previous prime is 11236283. The next prime is 11236307. The reversal of 11236288 is 88263211.

11236288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11236283) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1345 + ... + 4927.

It is an arithmetic number, because the mean of its divisors is an integer number (617728).

Almost surely, 211236288 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 11236288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

11236288 is an abundant number, since it is smaller than the sum of its proper divisors (14708288).

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

11236288 is an equidigital number, since it uses as much as digits as its factorization.

11236288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3592 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 11236288 is about 3352.0572787469. The cubic root of 11236288 is about 223.9791647287.

Adding to 11236288 its reverse (88263211), we get a palindrome (99499499).

It can be divided in two parts, 112 and 36288, that multiplied together give a square (4064256 = 20162).

The spelling of 11236288 in words is "eleven million, two hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3583 7166 14332 25081 28664 50162 57328 100324 114656 175567 200648 229312 351134 401296 702268 802592 1404536 1605184 2809072 5618144 11236288