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11813000 = 235311813
BaseRepresentation
bin101101000100…
…000010001000
3211020011101112
4231010002020
511011004000
61101105452
7202260143
oct55040210
924204345
1011813000
116739311
123b58288
1325a7b54
1417d705a
151085235
hexb44088

11813000 has 32 divisors (see below), whose sum is σ = 27644760. Its totient is φ = 4724800.

The previous prime is 11812991. The next prime is 11813017. The reversal of 11813000 is 31811.

It can be written as a sum of positive squares in 4 ways, for example, as 2896804 + 8916196 = 1702^2 + 2986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4907 + ... + 6906.

Almost surely, 211813000 is an apocalyptic number.

11813000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11813000 is an abundant number, since it is smaller than the sum of its proper divisors (15831760).

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

11813000 is a wasteful number, since it uses less digits than its factorization.

11813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11813000 is about 3437.0045097439. The cubic root of 11813000 is about 227.7473861670.

Adding to 11813000 its reverse (31811), we get a palindrome (11844811).

The spelling of 11813000 in words is "eleven million, eight hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11813 23626 47252 59065 94504 118130 236260 295325 472520 590650 1181300 1476625 2362600 2953250 5906500 11813000