Search a number
-
+
11284336 = 247531901
BaseRepresentation
bin101011000010…
…111101110000
3210020022012101
4223002331300
510342044321
61041510144
7164625640
oct53027560
923208171
1011284336
1164080a8
123942354
13245132b
1416da520
15ecd791
hexac2f70

11284336 has 40 divisors (see below), whose sum is σ = 25471584. Its totient is φ = 4742400.

The previous prime is 11284333. The next prime is 11284363. The reversal of 11284336 is 63348211.

11284336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284333) 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, 4986 + ... + 6886.

Almost surely, 211284336 is an apocalyptic number.

11284336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11284336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735792).

11284336 is an abundant number, since it is smaller than the sum of its proper divisors (14187248).

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

11284336 is a wasteful number, since it uses less digits than its factorization.

11284336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 11284336 is about 3359.2165753342. The cubic root of 11284336 is about 224.2979665620.

It can be divided in two parts, 112 and 84336, that added together give a palindrome (84448).

The spelling of 11284336 in words is "eleven million, two hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1901 2968 3802 5936 7604 13307 15208 26614 30416 53228 100753 106456 201506 212912 403012 705271 806024 1410542 1612048 2821084 5642168 11284336