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112443320 = 235112341271
BaseRepresentation
bin1101011001110…
…11111110111000
321211120201020102
412230323332320
5212241141240
615054014532
72533516043
oct654737670
9254521212
10112443320
1158520370
12317a7448
131a3ac512
1410d0dc5a
159d11815
hex6b3bfb8

112443320 has 128 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 38016000.

The previous prime is 112443299. The next prime is 112443329. The reversal of 112443320 is 23344211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112443292 and 112443301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112443329) 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, 414785 + ... + 415055.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2112443320 is an apocalyptic number.

112443320 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 112443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

112443320 is an abundant number, since it is smaller than the sum of its proper divisors (183666760).

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

112443320 is a wasteful number, since it uses less digits than its factorization.

112443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 112443320 is about 10603.9294603463. The cubic root of 112443320 is about 482.6636061824.

Adding to 112443320 its reverse (23344211), we get a palindrome (135787531).

It can be divided in two parts, 1124 and 43320, that added together give a palindrome (44444).

The spelling of 112443320 in words is "one hundred twelve million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 41 44 46 55 82 88 92 110 115 164 184 205 220 230 253 271 328 410 440 451 460 506 542 820 902 920 943 1012 1084 1265 1355 1640 1804 1886 2024 2168 2255 2530 2710 2981 3608 3772 4510 4715 5060 5420 5962 6233 7544 9020 9430 10120 10373 10840 11111 11924 12466 14905 18040 18860 20746 22222 23848 24932 29810 31165 37720 41492 44444 49864 51865 55555 59620 62330 68563 82984 88888 103730 111110 119240 122221 124660 137126 207460 222220 244442 249320 255553 274252 342815 414920 444440 488884 511106 548504 611105 685630 977768 1022212 1222210 1277765 1371260 2044424 2444420 2555530 2742520 2811083 4888840 5111060 5622166 10222120 11244332 14055415 22488664 28110830 56221660 112443320