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11130426 = 2333161109
BaseRepresentation
bin101010011101…
…011000111010
3202221111002000
4222131120322
510322133201
61034321430
7163415136
oct52353072
922844060
1011130426
1163124aa
123889276
1323c9268
14169a3c6
15e9cd86
hexa9d63a

11130426 has 64 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 3499200.

The previous prime is 11130419. The next prime is 11130433. The reversal of 11130426 is 62403111.

11130426 = 2642 + 2652 + ... + 3722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11130419) and next prime (11130433).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11130399 and 11130408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102060 + ... + 102168.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 211130426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

11130426 is an abundant number, since it is smaller than the sum of its proper divisors (15058374).

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

11130426 is a wasteful number, since it uses less digits than its factorization.

11130426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11130426 is about 3336.2293086657. The cubic root of 11130426 is about 223.2735420742.

Adding to 11130426 its reverse (62403111), we get a palindrome (73533537).

The spelling of 11130426 in words is "eleven million, one hundred thirty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 93 109 122 183 186 218 279 327 366 549 558 654 837 981 1098 1647 1674 1891 1962 2943 3294 3379 3782 5673 5886 6649 6758 10137 11346 13298 17019 19947 20274 30411 34038 39894 51057 59841 60822 91233 102114 119682 179523 182466 206119 359046 412238 618357 1236714 1855071 3710142 5565213 11130426