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11326000 = 24537809
BaseRepresentation
bin101011001101…
…001000110000
3210022102100111
4223031020300
510344413000
61042431104
7165161260
oct53151060
923272314
1011326000
116436434
123962494
13246729a
14170b7a0
15edacba
hexacd230

11326000 has 80 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3878400.

The previous prime is 11325973. The next prime is 11326001. The reversal of 11326000 is 62311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11326001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13596 + ... + 14404.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 211326000 is an apocalyptic number.

11326000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

11326000 is an abundant number, since it is smaller than the sum of its proper divisors (20011280).

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

11326000 is an equidigital number, since it uses as much as digits as its factorization.

11326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11326000 is about 3365.4123075784. The cubic root of 11326000 is about 224.5736783284.

Adding to 11326000 its reverse (62311), we get a palindrome (11388311).

The spelling of 11326000 in words is "eleven million, three hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 809 875 1000 1400 1618 1750 2000 2800 3236 3500 4045 5663 6472 7000 8090 11326 12944 14000 16180 20225 22652 28315 32360 40450 45304 56630 64720 80900 90608 101125 113260 141575 161800 202250 226520 283150 323600 404500 453040 566300 707875 809000 1132600 1415750 1618000 2265200 2831500 5663000 11326000