Search a number
-
+
111440040 = 233529311033
BaseRepresentation
bin1101010010001…
…11000010101000
321202200201222220
412221013002220
5212012040130
615020314040
72522140035
oct651070250
9252621886
10111440040
11579a5608
12313a2920
131a11a96a
1410b2c38c
159bb4410
hex6a470a8

111440040 has 128 divisors (see below), whose sum is σ = 357350400. Its totient is φ = 27740160.

The previous prime is 111440039. The next prime is 111440057. The reversal of 111440040 is 40044111.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 107364 + ... + 108396.

It is an arithmetic number, because the mean of its divisors is an integer number (2791800).

Almost surely, 2111440040 is an apocalyptic number.

111440040 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 111440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178675200).

111440040 is an abundant number, since it is smaller than the sum of its proper divisors (245910360).

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

111440040 is a wasteful number, since it uses less digits than its factorization.

111440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 111440040 is about 10556.5164708819. The cubic root of 111440040 is about 481.2237869570.

Adding to 111440040 its reverse (40044111), we get a palindrome (151484151).

The spelling of 111440040 in words is "one hundred eleven million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1033 1160 1240 1740 1798 1860 2066 2697 3099 3480 3596 3720 4132 4495 5165 5394 6198 7192 8264 8990 10330 10788 12396 13485 15495 17980 20660 21576 24792 26970 29957 30990 32023 35960 41320 53940 59914 61980 64046 89871 96069 107880 119828 123960 128092 149785 160115 179742 192138 239656 256184 299570 320230 359484 384276 449355 480345 599140 640460 718968 768552 898710 928667 960690 1198280 1280920 1797420 1857334 1921380 2786001 3594840 3714668 3842760 4643335 5572002 7429336 9286670 11144004 13930005 18573340 22288008 27860010 37146680 55720020 111440040