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11126088 = 2332413769
BaseRepresentation
bin101010011100…
…010101001000
3202221021010100
4222130111020
510322013323
61034245400
7163366401
oct52342510
922837110
1011126088
11630a216
123886860
1323c72ac
1416989a8
15e9b943
hexa9c548

11126088 has 48 divisors (see below), whose sum is σ = 30876300. Its totient is φ = 3617280.

The previous prime is 11126083. The next prime is 11126099. The reversal of 11126088 is 88062111.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 116964 = 3318^2 + 342^2 .

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 11 ways as a sum of consecutive naturals, for example, 1068 + ... + 4836.

Almost surely, 211126088 is an apocalyptic number.

11126088 is a gapful number since it is divisible by the number (18) 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 11126088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438150).

11126088 is an abundant number, since it is smaller than the sum of its proper divisors (19750212).

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

11126088 is a wasteful number, since it uses less digits than its factorization.

11126088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11126088 is about 3335.5791101396. The cubic root of 11126088 is about 223.2445319093.

Adding to 11126088 its reverse (88062111), we get a palindrome (99188199).

The spelling of 11126088 in words is "eleven million, one hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3769 7538 11307 15076 22614 30152 33921 45228 67842 90456 135684 154529 271368 309058 463587 618116 927174 1236232 1390761 1854348 2781522 3708696 5563044 11126088