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11440240 = 245731659
BaseRepresentation
bin101011101001…
…000001110000
3210112020001121
4223221001300
510412041430
61045112024
7166145320
oct53510160
923466047
1011440240
116504249
1239b8614
1324a7296
14173b280
15100ea7a
hexae9070

11440240 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 3790080.

The previous prime is 11440229. The next prime is 11440241. The reversal of 11440240 is 4204411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17031 + ... + 17689.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 211440240 is an apocalyptic number.

11440240 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 11440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

11440240 is an abundant number, since it is smaller than the sum of its proper divisors (19986320).

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

11440240 is a wasteful number, since it uses less digits than its factorization.

11440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 11440240 is about 3382.3423836152. The cubic root of 11440240 is about 225.3262099526.

Adding to 11440240 its reverse (4204411), we get a palindrome (15644651).

The spelling of 11440240 in words is "eleven million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 659 868 1085 1240 1318 1736 2170 2480 2636 3295 3472 4340 4613 5272 6590 8680 9226 10544 13180 17360 18452 20429 23065 26360 36904 40858 46130 52720 73808 81716 92260 102145 143003 163432 184520 204290 286006 326864 369040 408580 572012 715015 817160 1144024 1430030 1634320 2288048 2860060 5720120 11440240