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11128914 = 23617449
BaseRepresentation
bin101010011101…
…000001010010
3202221102000000
4222131001102
510322111124
61034310430
7163410546
oct52350122
922842000
1011128914
116311355
123888416
1323c8674
141699a26
15e9c6c9
hexa9d052

11128914 has 56 divisors (see below), whose sum is σ = 26559900. Its totient is φ = 3483648.

The previous prime is 11128913. The next prime is 11128937. The reversal of 11128914 is 41982111.

It can be written as a sum of positive squares in 2 ways, for example, as 10673289 + 455625 = 3267^2 + 675^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11128913) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24562 + ... + 25010.

Almost surely, 211128914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279950).

11128914 is an abundant number, since it is smaller than the sum of its proper divisors (15430986).

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

11128914 is an equidigital number, since it uses as much as digits as its factorization.

11128914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11128914 is about 3336.0026978406. The cubic root of 11128914 is about 223.2634315033.

The spelling of 11128914 in words is "eleven million, one hundred twenty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 449 459 486 729 898 918 1347 1377 1458 2694 2754 4041 4131 7633 8082 8262 12123 12393 15266 22899 24246 24786 36369 45798 68697 72738 109107 137394 206091 218214 327321 412182 618273 654642 1236546 1854819 3709638 5564457 11128914