Search a number
-
+
11366020 = 2254183167
BaseRepresentation
bin101011010110…
…111010000100
3210101110020201
4223112322010
510402203040
61043340244
7165416041
oct53267204
923343221
1011366020
116463506
123981684
13247c573
14171c1c8
15ee7a9a
hexad6e84

11366020 has 48 divisors (see below), whose sum is σ = 24893568. Its totient is φ = 4355840.

The previous prime is 11365997. The next prime is 11366021. The reversal of 11366020 is 2066311.

11366020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11366021) 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, 67977 + ... + 68143.

It is an arithmetic number, because the mean of its divisors is an integer number (518616).

Almost surely, 211366020 is an apocalyptic number.

11366020 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 11366020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446784).

11366020 is an abundant number, since it is smaller than the sum of its proper divisors (13527548).

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

11366020 is a wasteful number, since it uses less digits than its factorization.

11366020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 11366020 is about 3371.3528441858. The cubic root of 11366020 is about 224.8378749775.

The spelling of 11366020 in words is "eleven million, three hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 83 164 166 167 205 332 334 410 415 668 820 830 835 1660 1670 3340 3403 6806 6847 13612 13694 13861 17015 27388 27722 34030 34235 55444 68060 68470 69305 136940 138610 277220 568301 1136602 2273204 2841505 5683010 11366020