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11831296 = 21153109
BaseRepresentation
bin101101001000…
…100000000000
3211021002111011
4231020200000
511012100141
61101330304
7202364401
oct55104000
924232434
1011831296
116751034
123b66994
1325b3289
1417dd9a8
15108a881
hexb48800

11831296 has 48 divisors (see below), whose sum is σ = 24324300. Its totient is φ = 5750784.

The previous prime is 11831293. The next prime is 11831299. The reversal of 11831296 is 69213811.

It is an interprime number because it is at equal distance from previous prime (11831293) and next prime (11831299).

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 541696 = 3360^2 + 736^2 .

It is not an unprimeable number, because it can be changed into a prime (11831291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108490 + ... + 108598.

Almost surely, 211831296 is an apocalyptic number.

11831296 is a gapful number since it is divisible by the number (16) 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 11831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162150).

11831296 is an abundant number, since it is smaller than the sum of its proper divisors (12493004).

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

11831296 is an equidigital number, since it uses as much as digits as its factorization.

11831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 11831296 is about 3439.6650999770. The cubic root of 11831296 is about 227.8649040656.

The spelling of 11831296 in words is "eleven million, eight hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 109 128 212 218 256 424 436 512 848 872 1024 1696 1744 2048 3392 3488 5777 6784 6976 11554 13568 13952 23108 27136 27904 46216 54272 55808 92432 108544 111616 184864 223232 369728 739456 1478912 2957824 5915648 11831296