Search a number
-
+
411112240 = 24571166739
BaseRepresentation
bin11000100000010…
…001001100110000
31001122120122222021
4120200101030300
51320221042430
6104443321224
713121252650
oct3040211460
91048518867
10411112240
111a1075790
12b5820214
13672324a6
143c858360
152615b07a
hex18811330

411112240 has 80 divisors (see below), whose sum is σ = 1191709440. Its totient is φ = 128136960.

The previous prime is 411112237. The next prime is 411112277. The reversal of 411112240 is 42211114.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27210 + ... + 39529.

It is an arithmetic number, because the mean of its divisors is an integer number (14896368).

Almost surely, 2411112240 is an apocalyptic number.

411112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411112240 is an abundant number, since it is smaller than the sum of its proper divisors (780597200).

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

411112240 is a wasteful number, since it uses less digits than its factorization.

411112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66770 (or 66764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 411112240 is about 20275.9029392035. The cubic root of 411112240 is about 743.5670487556.

Adding to 411112240 its reverse (42211114), we get a palindrome (453323354).

The spelling of 411112240 in words is "four hundred eleven million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 66739 133478 266956 333695 467173 533912 667390 734129 934346 1067824 1334780 1468258 1868692 2335865 2669560 2936516 3670645 3737384 4671730 5138903 5339120 5873032 7341290 7474768 9343460 10277806 11746064 14682580 18686920 20555612 25694515 29365160 37373840 41111224 51389030 58730320 82222448 102778060 205556120 411112240