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11129417 = 132953557
BaseRepresentation
bin101010011101…
…001001001001
3202221102200122
4222131021021
510322120132
61034313025
7163412165
oct52351111
922842618
1011129417
116311772
123888775
1323c8970
141699ca5
15e9c912
hexa9d249

11129417 has 16 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 9714432.

The previous prime is 11129357. The next prime is 11129423. The reversal of 11129417 is 71492111.

It can be written as a sum of positive squares in 8 ways, for example, as 1042441 + 10086976 = 1021^2 + 3176^2 .

It is not a de Polignac number, because 11129417 - 210 = 11128393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11129467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19703 + ... + 20259.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 211129417 is an apocalyptic number.

It is an amenable number.

11129417 is a deficient number, since it is larger than the sum of its proper divisors (1526023).

11129417 is a wasteful number, since it uses less digits than its factorization.

11129417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its digits is 504, while the sum is 26.

The square root of 11129417 is about 3336.0780866161. The cubic root of 11129417 is about 223.2667951084.

The spelling of 11129417 in words is "eleven million, one hundred twenty-nine thousand, four hundred seventeen".

Divisors: 1 13 29 53 377 557 689 1537 7241 16153 19981 29521 209989 383773 856109 11129417