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11110008 = 2337135087
BaseRepresentation
bin101010011000…
…011001111000
3202220110001210
4222120121320
510321010013
61034043120
7163301460
oct52303170
922813053
1011110008
1162a9128
1238794a0
1323bcb90
141692ba0
15e96cc3
hexa98678

11110008 has 64 divisors (see below), whose sum is σ = 34191360. Its totient is φ = 2929536.

The previous prime is 11109983. The next prime is 11110031. The reversal of 11110008 is 80001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11109975 and 11110002.

It is a congruent number.

It is an unprimeable number.

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, 360 + ... + 4727.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 211110008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095680).

11110008 is an abundant number, since it is smaller than the sum of its proper divisors (23081352).

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

11110008 is a wasteful number, since it uses less digits than its factorization.

11110008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 11110008 is about 3333.1678625596. The cubic root of 11110008 is about 223.1369318604.

Adding to 11110008 its reverse (80001111), we get a palindrome (91111119).

The spelling of 11110008 in words is "eleven million, one hundred ten thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5087 10174 15261 20348 30522 35609 40696 61044 66131 71218 106827 122088 132262 142436 198393 213654 264524 284872 396786 427308 462917 529048 793572 854616 925834 1388751 1587144 1851668 2777502 3703336 5555004 11110008