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111131440 = 24571911039
BaseRepresentation
bin1101001111110…
…11101100110000
321202010001200021
412213323230300
5211422201230
615005533224
72516413240
oct647735460
9252101607
10111131440
1157804772
1231274214
131a040364
1410a8bb20
159b52c7a
hex69fbb30

111131440 has 80 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 37866240.

The previous prime is 111131429. The next prime is 111131441. The reversal of 111131440 is 44131111.

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 not an unprimeable number, because it can be changed into a prime (111131441) 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, 106441 + ... + 107479.

It is an arithmetic number, because the mean of its divisors is an integer number (3714048).

Almost surely, 2111131440 is an apocalyptic number.

111131440 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 111131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

111131440 is an abundant number, since it is smaller than the sum of its proper divisors (185992400).

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

111131440 is a wasteful number, since it uses less digits than its factorization.

111131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 111131440 is about 10541.8897736601. The cubic root of 111131440 is about 480.7791743125.

Adding to 111131440 its reverse (44131111), we get a palindrome (155262551).

The spelling of 111131440 in words is "one hundred eleven million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 560 764 955 1039 1337 1528 1910 2078 2674 3056 3820 4156 5195 5348 6685 7273 7640 8312 10390 10696 13370 14546 15280 16624 20780 21392 26740 29092 36365 41560 53480 58184 72730 83120 106960 116368 145460 198449 290920 396898 581840 793796 992245 1389143 1587592 1984490 2778286 3175184 3968980 5556572 6945715 7937960 11113144 13891430 15875920 22226288 27782860 55565720 111131440