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11441300 = 2252132677
BaseRepresentation
bin101011101001…
…010010010100
3210112021111212
4223221102110
510412110200
61045120552
7166151363
oct53512224
923467455
1011441300
116505022
1239b9158
1324a7900
14173b7da
151010035
hexae9494

11441300 has 54 divisors (see below), whose sum is σ = 26924058. Its totient is φ = 4218240.

The previous prime is 11441299. The next prime is 11441329. The reversal of 11441300 is 314411.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 3341584 + 8099716 = 1828^2 + 2846^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16562 + ... + 17238.

Almost surely, 211441300 is an apocalyptic number.

11441300 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 11441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462029).

11441300 is an abundant number, since it is smaller than the sum of its proper divisors (15482758).

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

11441300 is a wasteful number, since it uses less digits than its factorization.

11441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11441300 is about 3382.4990761270. The cubic root of 11441300 is about 225.3331689677. Note that the first 3 decimals are identical.

Adding to 11441300 its reverse (314411), we get a palindrome (11755711).

It can be divided in two parts, 114 and 41300, that added together give a palindrome (41414).

The spelling of 11441300 in words is "eleven million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 677 845 1300 1354 1690 2708 3380 3385 4225 6770 8450 8801 13540 16900 16925 17602 33850 35204 44005 67700 88010 114413 176020 220025 228826 440050 457652 572065 880100 1144130 2288260 2860325 5720650 11441300