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112441140 = 223257233383
BaseRepresentation
bin1101011001110…
…11011100110100
321211120121020200
412230323130310
5212241104030
615054000500
72533506510
oct654733464
9254517220
10112441140
1158519769
12317a6130
131a3ab526
1410d0d140
159d10d60
hex6b3b734

112441140 has 144 divisors (see below), whose sum is σ = 392491008. Its totient is φ = 25523712.

The previous prime is 112441129. The next prime is 112441141. The reversal of 112441140 is 41144211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112441141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293389 + ... + 293771.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 2112441140 is an apocalyptic number.

112441140 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 112441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

112441140 is an abundant number, since it is smaller than the sum of its proper divisors (280049868).

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

112441140 is a wasteful number, since it uses less digits than its factorization.

112441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112441140 is about 10603.8266677648. The cubic root of 112441140 is about 482.6604869414.

Adding to 112441140 its reverse (41144211), we get a palindrome (153585351).

The spelling of 112441140 in words is "one hundred twelve million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 233 252 315 383 420 466 630 699 766 932 1149 1165 1260 1398 1532 1631 1915 2097 2298 2330 2681 2796 3262 3447 3495 3830 4194 4596 4660 4893 5362 5745 6524 6894 6990 7660 8043 8155 8388 9786 10485 10724 11490 13405 13788 13980 14679 16086 16310 17235 19572 20970 22980 24129 24465 26810 29358 32172 32620 34470 40215 41940 48258 48930 53620 58716 68940 73395 80430 89239 96516 97860 120645 146790 160860 178478 241290 267717 293580 356956 446195 482580 535434 624673 803151 892390 1070868 1249346 1338585 1606302 1784780 1874019 2498692 2677170 3123365 3212604 3748038 4015755 5354340 5622057 6246730 7496076 8031510 9370095 11244114 12493460 16063020 18740190 22488228 28110285 37480380 56220570 112441140