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11444160 = 2635713131
BaseRepresentation
bin101011101001…
…111111000000
3210112102102210
4223221333000
510412203120
61045142120
7166162620
oct53517700
923472383
1011444160
116507192
1239ba940
1324a8cc0
14173c880
151010ce0
hexae9fc0

11444160 has 224 divisors, whose sum is σ = 45061632. Its totient is φ = 2396160.

The previous prime is 11444159. The next prime is 11444189. The reversal of 11444160 is 6144411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87295 + ... + 87425.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 211444160 is an apocalyptic number.

11444160 is a gapful number since it is divisible by the number (10) 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 11444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530816).

11444160 is an abundant number, since it is smaller than the sum of its proper divisors (33617472).

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

11444160 is a wasteful number, since it uses less digits than its factorization.

11444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11444160 is about 3382.9218140536. The cubic root of 11444160 is about 225.3519430339.

Adding to 11444160 its reverse (6144411), we get a palindrome (17588571).

The spelling of 11444160 in words is "eleven million, four hundred forty-four thousand, one hundred sixty".