Search a number
-
+
11025568 = 25291092
BaseRepresentation
bin101010000011…
…110010100000
3202202011020101
4222003302200
510310304233
61032152144
7162500341
oct52036240
922664211
1011025568
116250744
123838654
132390608
1416700c8
15e7bc7d
hexa83ca0

11025568 has 36 divisors (see below), whose sum is σ = 22662990. Its totient is φ = 5273856.

The previous prime is 11025563. The next prime is 11025583. The reversal of 11025568 is 86552011.

It can be written as a sum of positive squares in 3 ways, for example, as 10679824 + 345744 = 3268^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (11025563) 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, 101098 + ... + 101206.

Almost surely, 211025568 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 11025568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331495).

11025568 is an abundant number, since it is smaller than the sum of its proper divisors (11637422).

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

11025568 is an equidigital number, since it uses as much as digits as its factorization.

11025568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 11025568 is about 3320.4770741567. The cubic root of 11025568 is about 222.5701870061.

Adding to 11025568 its reverse (86552011), we get a palindrome (97577579).

It can be divided in two parts, 1102 and 5568, that added together give a triangular number (6670 = T115).

The spelling of 11025568 in words is "eleven million, twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 1744 3161 3488 6322 11881 12644 23762 25288 47524 50576 95048 101152 190096 344549 380192 689098 1378196 2756392 5512784 11025568