Search a number
-
+
11020928 = 27292969
BaseRepresentation
bin101010000010…
…101010000000
3202201220212112
4222002222000
510310132203
61032114452
7162450662
oct52025200
922656775
1011020928
116248206
123835a28
13238b479
14166c532
15e7a6d8
hexa82a80

11020928 has 32 divisors (see below), whose sum is σ = 22720500. Its totient is φ = 5318656.

The previous prime is 11020927. The next prime is 11020937. The reversal of 11020928 is 82902011.

It can be written as a sum of positive squares in 2 ways, for example, as 9784384 + 1236544 = 3128^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11020921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228 + ... + 5196.

Almost surely, 211020928 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 11020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360250).

11020928 is an abundant number, since it is smaller than the sum of its proper divisors (11699572).

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

11020928 is an equidigital number, since it uses as much as digits as its factorization.

11020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 11020928 is about 3319.7783058512. The cubic root of 11020928 is about 222.5389604796.

Adding to 11020928 its reverse (82902011), we get a palindrome (93922939).

The spelling of 11020928 in words is "eleven million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 2969 3712 5938 11876 23752 47504 86101 95008 172202 190016 344404 380032 688808 1377616 2755232 5510464 11020928