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11126080 = 26574967
BaseRepresentation
bin101010011100…
…010101000000
3202221021010001
4222130111000
510322013310
61034245344
7163366360
oct52342500
922837101
1011126080
11630a209
123886854
1323c72a4
1416989a0
15e9b93a
hexa9c540

11126080 has 56 divisors (see below), whose sum is σ = 30284928. Its totient is φ = 3813888.

The previous prime is 11126069. The next prime is 11126081. The reversal of 11126080 is 8062111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 4723.

Almost surely, 211126080 is an apocalyptic number.

11126080 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 11126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142464).

11126080 is an abundant number, since it is smaller than the sum of its proper divisors (19158848).

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

11126080 is an equidigital number, since it uses as much as digits as its factorization.

11126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11126080 is about 3335.5779109474. The cubic root of 11126080 is about 223.2444784027.

Adding to 11126080 its reverse (8062111), we get a palindrome (19188191).

The spelling of 11126080 in words is "eleven million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4967 9934 19868 24835 34769 39736 49670 69538 79472 99340 139076 158944 173845 198680 278152 317888 347690 397360 556304 695380 794720 1112608 1390760 1589440 2225216 2781520 5563040 11126080