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11213268 = 223111719263
BaseRepresentation
bin101010110001…
…100111010100
3210002200201020
4222301213110
510332311033
61040201140
7164211513
oct52614724
923080636
1011213268
116369770
1239091b0
132427b91
1416bc67a
15eb76b3
hexab19d4

11213268 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3018240.

The previous prime is 11213233. The next prime is 11213281. The reversal of 11213268 is 86231211.

11213268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42505 + ... + 42767.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 211213268 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 11213268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

11213268 is an abundant number, since it is smaller than the sum of its proper divisors (20720172).

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

11213268 is a wasteful number, since it uses less digits than its factorization.

11213268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11213268 is about 3348.6218060569. The cubic root of 11213268 is about 223.8261033425.

Adding to 11213268 its reverse (86231211), we get a palindrome (97444479).

The spelling of 11213268 in words is "eleven million, two hundred thirteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 263 323 374 418 526 561 627 646 748 789 836 969 1052 1122 1254 1292 1578 1938 2244 2508 2893 3156 3553 3876 4471 4997 5786 7106 8679 8942 9994 10659 11572 13413 14212 14991 17358 17884 19988 21318 26826 29982 34716 42636 49181 53652 54967 59964 84949 98362 109934 147543 164901 169898 196724 219868 254847 295086 329802 339796 509694 590172 659604 934439 1019388 1868878 2803317 3737756 5606634 11213268