Search a number
-
+
11131040 = 25573953
BaseRepresentation
bin101010011101…
…100010100000
3202221111220202
4222131202200
510322143130
61034324332
7163420004
oct52354240
922844822
1011131040
116312a08
1238896a8
1323c961b
14169a704
15e9d145
hexa9d8a0

11131040 has 48 divisors (see below), whose sum is σ = 26685288. Its totient is φ = 4386816.

The previous prime is 11131037. The next prime is 11131061. The reversal of 11131040 is 4013111.

11131040 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 8832784 + 2298256 = 2972^2 + 1516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11204 + ... + 12156.

Almost surely, 211131040 is an apocalyptic number.

11131040 is a gapful number since it is divisible by the number (10) 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 11131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342644).

11131040 is an abundant number, since it is smaller than the sum of its proper divisors (15554248).

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

11131040 is an equidigital number, since it uses as much as digits as its factorization.

11131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11131040 is about 3336.3213274503. The cubic root of 11131040 is about 223.2776475605.

Adding to 11131040 its reverse (4013111), we get a palindrome (15144151).

The spelling of 11131040 in words is "eleven million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 953 1168 1460 1906 2336 2920 3812 4765 5840 7624 9530 11680 15248 19060 30496 38120 69569 76240 139138 152480 278276 347845 556552 695690 1113104 1391380 2226208 2782760 5565520 11131040