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112341320 = 23572134409
BaseRepresentation
bin1101011001000…
…11000101001000
321211101112022122
412230203011020
5212224410240
615051510412
72532612500
oct654430510
9254345278
10112341320
1158460773
1231758408
131a374c70
1410cc4a00
159ce14b5
hex6b23148

112341320 has 96 divisors (see below), whose sum is σ = 316726200. Its totient is φ = 35546112.

The previous prime is 112341283. The next prime is 112341337. The reversal of 112341320 is 23143211.

It can be written as a sum of positive squares in 4 ways, for example, as 42016324 + 70324996 = 6482^2 + 8386^2 .

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 23 ways as a sum of consecutive naturals, for example, 23276 + ... + 27684.

Almost surely, 2112341320 is an apocalyptic number.

112341320 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 112341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158363100).

112341320 is an abundant number, since it is smaller than the sum of its proper divisors (204384880).

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

112341320 is a wasteful number, since it uses less digits than its factorization.

112341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 112341320 is about 10599.1188312991. The cubic root of 112341320 is about 482.5176168320.

Adding to 112341320 its reverse (23143211), we get a palindrome (135484531).

The spelling of 112341320 in words is "one hundred twelve million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 4409 5096 6370 8818 12740 17636 22045 25480 30863 35272 44090 57317 61726 88180 114634 123452 154315 176360 216041 229268 246904 286585 308630 401219 432082 458536 573170 617260 802438 864164 1080205 1146340 1234520 1604876 1728328 2006095 2160410 2292680 2808533 3209752 4012190 4320820 5617066 8024380 8641640 11234132 14042665 16048760 22468264 28085330 56170660 112341320