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11206468 = 22713171811
BaseRepresentation
bin101010101111…
…111101000100
3210002100101101
4222233331010
510332101333
61040105444
7164152630
oct52577504
923070341
1011206468
116364649
123905284
132424a60
1416b9dc0
15eb567d
hexaaff44

11206468 has 48 divisors (see below), whose sum is σ = 25570944. Its totient is φ = 4170240.

The previous prime is 11206457. The next prime is 11206477. The reversal of 11206468 is 86460211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283 + ... + 7093.

It is an arithmetic number, because the mean of its divisors is an integer number (532728).

Almost surely, 211206468 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 11206468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785472).

11206468 is an abundant number, since it is smaller than the sum of its proper divisors (14364476).

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

11206468 is a wasteful number, since it uses less digits than its factorization.

11206468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 11206468 is about 3347.6063089915. The cubic root of 11206468 is about 223.7808496523.

Adding to 11206468 its reverse (86460211), we get a palindrome (97666679).

The spelling of 11206468 in words is "eleven million, two hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 1811 3094 3622 6188 7244 12677 23543 25354 30787 47086 50708 61574 94172 123148 164801 215509 329602 400231 431018 659204 800462 862036 1600924 2801617 5603234 11206468