Search a number
-
+
11195648 = 28101433
BaseRepresentation
bin101010101101…
…010100000000
3210001210112122
4222231110000
510331230043
61035543412
7164106242
oct52552400
923053478
1011195648
116357502
1238bab68
13241cb59
1416b6092
15eb2368
hexaad500

11195648 has 36 divisors (see below), whose sum is σ = 22620948. Its totient is φ = 5529600.

The previous prime is 11195627. The next prime is 11195651. The reversal of 11195648 is 84659111.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 4804864 = 2528^2 + 2192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25640 + ... + 26072.

Almost surely, 211195648 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 11195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11310474).

11195648 is an abundant number, since it is smaller than the sum of its proper divisors (11425300).

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

11195648 is an equidigital number, since it uses as much as digits as its factorization.

11195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 11195648 is about 3345.9898385978. The cubic root of 11195648 is about 223.7088052913.

It can be divided in two parts, 111 and 95648, that added together give a palindrome (95759).

The spelling of 11195648 in words is "eleven million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 433 808 866 1616 1732 3232 3464 6464 6928 12928 13856 25856 27712 43733 55424 87466 110848 174932 349864 699728 1399456 2798912 5597824 11195648