Search a number
-
+
111440000 = 27547199
BaseRepresentation
bin1101010010001…
…11000010000000
321202200201221102
412221013002000
5212012040000
615020313532
72522136650
oct651070200
9252621842
10111440000
11579a5581
12313a28a8
131a11a939
1410b2c360
159bb43d5
hex6a47080

111440000 has 160 divisors (see below), whose sum is σ = 318648000. Its totient is φ = 38016000.

The previous prime is 111439969. The next prime is 111440027. The reversal of 111440000 is 44111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559901 + ... + 560099.

It is an arithmetic number, because the mean of its divisors is an integer number (1991550).

Almost surely, 2111440000 is an apocalyptic number.

111440000 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 111440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159324000).

111440000 is an abundant number, since it is smaller than the sum of its proper divisors (207208000).

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

111440000 is an frugal number, since it uses more digits than its factorization.

111440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 111440000 is about 10556.5145763173. The cubic root of 111440000 is about 481.2237293806.

Adding to 111440000 its reverse (44111), we get a palindrome (111484111).

It can be divided in two parts, 1114 and 40000, that added together give a palindrome (41114).

The spelling of 111440000 in words is "one hundred eleven million, four hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 199 200 224 250 280 320 350 398 400 448 500 560 625 640 700 796 800 875 896 995 1000 1120 1250 1393 1400 1592 1600 1750 1990 2000 2240 2500 2786 2800 3184 3200 3500 3980 4000 4375 4480 4975 5000 5572 5600 6368 6965 7000 7960 8000 8750 9950 10000 11144 11200 12736 13930 14000 15920 16000 17500 19900 20000 22288 22400 24875 25472 27860 28000 31840 34825 35000 39800 40000 44576 49750 55720 56000 63680 69650 70000 79600 80000 89152 99500 111440 112000 124375 127360 139300 140000 159200 174125 178304 199000 222880 248750 278600 280000 318400 348250 398000 445760 497500 557200 560000 636800 696500 796000 870625 891520 995000 1114400 1393000 1592000 1741250 1990000 2228800 2786000 3184000 3482500 3980000 4457600 5572000 6965000 7960000 11144000 13930000 15920000 22288000 27860000 55720000 111440000