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11480872 = 23131011093
BaseRepresentation
bin101011110010…
…111100101000
3210121021210111
4223302330220
510414341442
61050024104
7166404634
oct53627450
923537714
1011480872
116531827
123a18034
1324bc920
14174bdc4
15101bb17
hexaf2f28

11480872 has 32 divisors (see below), whose sum is σ = 23433480. Its totient is φ = 5241600.

The previous prime is 11480867. The next prime is 11480873. The reversal of 11480872 is 27808411.

It can be written as a sum of positive squares in 4 ways, for example, as 11464996 + 15876 = 3386^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (11480873) by changing a digit.

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, 9958 + ... + 11050.

Almost surely, 211480872 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 11480872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716740).

11480872 is an abundant number, since it is smaller than the sum of its proper divisors (11952608).

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

11480872 is a wasteful number, since it uses less digits than its factorization.

11480872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 11480872 is about 3388.3435481072. The cubic root of 11480872 is about 225.5926564851.

The spelling of 11480872 in words is "eleven million, four hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1093 1313 2186 2626 4372 5252 8744 10504 14209 28418 56836 110393 113672 220786 441572 883144 1435109 2870218 5740436 11480872