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1104112240 = 245711237793
BaseRepresentation
bin100000111001111…
…0110101001110000
32211221120201020221
41001303312221300
54230123042430
6301320542424
736234541060
oct10163665160
92757521227
101104112240
11517273960
12269921a14
1314799066a
14a68cd3a0
1566de957a
hex41cf6a70

1104112240 has 160 divisors (see below), whose sum is σ = 3340071936. Its totient is φ = 329134080.

The previous prime is 1104112237. The next prime is 1104112241. The reversal of 1104112240 is 422114011.

It is a happy number.

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 (1104112241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137784 + ... + 145576.

Almost surely, 21104112240 is an apocalyptic number.

1104112240 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 1104112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670035968).

1104112240 is an abundant number, since it is smaller than the sum of its proper divisors (2235959696).

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

1104112240 is a wasteful number, since it uses less digits than its factorization.

1104112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7841 counting only the distinct ones).

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

The square root of 1104112240 is about 33228.1844222642. The cubic root of 1104112240 is about 1033.5648744641.

Adding to 1104112240 its reverse (422114011), we get a palindrome (1526226251).

The spelling of 1104112240 in words is "one billion, one hundred four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 644 770 805 880 920 1012 1232 1265 1288 1540 1610 1771 1840 2024 2530 2576 3080 3220 3542 4048 5060 6160 6440 7084 7793 8855 10120 12880 14168 15586 17710 20240 28336 31172 35420 38965 54551 62344 70840 77930 85723 109102 124688 141680 155860 171446 179239 218204 272755 311720 342892 358478 428615 436408 545510 600061 623440 685784 716956 857230 872816 896195 1091020 1200122 1254673 1371568 1433912 1714460 1792390 1971629 2182040 2400244 2509346 2867824 3000305 3428920 3584780 3943258 4364080 4800488 5018692 6000610 6273365 6857840 7169560 7886516 9600976 9858145 10037384 12001220 12546730 13801403 14339120 15773032 19716290 20074768 24002440 25093460 27602806 31546064 39432580 48004880 50186920 55205612 69007015 78865160 100373840 110411224 138014030 157730320 220822448 276028060 552056120 1104112240