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11272206 = 23111989101
BaseRepresentation
bin101011000000…
…000000001110
3210012200120010
4223000000032
510341202311
61041334050
7164545401
oct53000016
923180503
1011272206
1163a9a80
123937326
13244895a
1416d5d38
15ec9da6
hexac000e

11272206 has 64 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 3168000.

The previous prime is 11272193. The next prime is 11272211. The reversal of 11272206 is 60227211.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 111556 + ... + 111656.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 211272206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

11272206 is an abundant number, since it is smaller than the sum of its proper divisors (15166194).

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

11272206 is a wasteful number, since it uses less digits than its factorization.

11272206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11272206 is about 3357.4106093834. The cubic root of 11272206 is about 224.2175686903.

Adding to 11272206 its reverse (60227211), we get a palindrome (71499417).

It can be divided in two parts, 1127 and 2206, that added together give a palindrome (3333).

The spelling of 11272206 in words is "eleven million, two hundred seventy-two thousand, two hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 89 101 114 178 202 209 267 303 418 534 606 627 979 1111 1254 1691 1919 1958 2222 2937 3333 3382 3838 5073 5757 5874 6666 8989 10146 11514 17978 18601 21109 26967 37202 42218 53934 55803 63327 98879 111606 126654 170791 197758 296637 341582 512373 593274 1024746 1878701 3757402 5636103 11272206