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11641088 = 28371229
BaseRepresentation
bin101100011010…
…000100000000
3210220102120102
4230122010000
510440003323
61053301532
7200643014
oct54320400
923812512
1011641088
116631138
123a948a8
132547824
141790544
15104e328
hexb1a100

11641088 has 36 divisors (see below), whose sum is σ = 23884140. Its totient is φ = 5658624.

The previous prime is 11641087. The next prime is 11641099. The reversal of 11641088 is 88014611.

It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 565504 = 3328^2 + 752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11641088.

It is not an unprimeable number, because it can be changed into a prime (11641087) 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, 8858 + ... + 10086.

Almost surely, 211641088 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 11641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942070).

11641088 is an abundant number, since it is smaller than the sum of its proper divisors (12243052).

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

11641088 is an equidigital number, since it uses as much as digits as its factorization.

11641088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11641088 is about 3411.9038673444. The cubic root of 11641088 is about 226.6371972453.

Adding to 11641088 its reverse (88014611), we get a palindrome (99655699).

The spelling of 11641088 in words is "eleven million, six hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1229 2368 2458 4736 4916 9472 9832 19664 39328 45473 78656 90946 157312 181892 314624 363784 727568 1455136 2910272 5820544 11641088