Search a number
-
+
11266864 = 24732053
BaseRepresentation
bin101010111110…
…101100110000
3210012102020021
4222332230300
510341014424
61041253224
7164524000
oct52765460
923172207
1011266864
1163a5a64
123934214
1324463ab
1416d4000
15ec84e4
hexabeb30

11266864 has 40 divisors (see below), whose sum is σ = 25469600. Its totient is φ = 4826304.

The previous prime is 11266859. The next prime is 11266873. The reversal of 11266864 is 46866211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4462 + ... + 6514.

It is an arithmetic number, because the mean of its divisors is an integer number (636740).

Almost surely, 211266864 is an apocalyptic number.

11266864 is a gapful number since it is divisible by the number (14) 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 11266864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734800).

11266864 is an abundant number, since it is smaller than the sum of its proper divisors (14202736).

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

11266864 is an equidigital number, since it uses as much as digits as its factorization.

11266864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2062 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 11266864 is about 3356.6149615349. The cubic root of 11266864 is about 224.1821435182.

The spelling of 11266864 in words is "eleven million, two hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2053 2744 4106 5488 8212 14371 16424 28742 32848 57484 100597 114968 201194 229936 402388 704179 804776 1408358 1609552 2816716 5633432 11266864