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11441340 = 22325173739
BaseRepresentation
bin101011101001…
…010010111100
3210112021120100
4223221102330
510412110330
61045121100
7166151451
oct53512274
923467510
1011441340
116505059
1239b9190
1324a7931
14173b828
151010060
hexae94bc

11441340 has 72 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 2870784.

The previous prime is 11441329. The next prime is 11441347. The reversal of 11441340 is 4314411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441347) 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 23 ways as a sum of consecutive naturals, for example, 1191 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 211441340 is an apocalyptic number.

11441340 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 11441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

11441340 is an abundant number, since it is smaller than the sum of its proper divisors (25315380).

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

11441340 is a wasteful number, since it uses less digits than its factorization.

11441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11441340 is about 3382.5049889098. The cubic root of 11441340 is about 225.3334315636. Note that the first 3 decimals are identical.

Adding to 11441340 its reverse (4314411), we get a palindrome (15755751).

It can be divided in two parts, 11441 and 340, that added together give a triangular number (11781 = T153).

The spelling of 11441340 in words is "eleven million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3739 7478 11217 14956 18695 22434 33651 37390 44868 56085 63563 67302 74780 112170 127126 134604 168255 190689 224340 254252 317815 336510 381378 572067 635630 673020 762756 953445 1144134 1271260 1906890 2288268 2860335 3813780 5720670 11441340