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112026240 = 273452161
BaseRepresentation
bin1101010110101…
…10001010000000
321210210112010000
412223112022000
5212134314430
615041040000
72530131054
oct653261200
9253715100
10112026240
1158265a77
1231626000
131a294721
1410c41c64
159c7ce60
hex6ad6280

112026240 has 160 divisors (see below), whose sum is σ = 400251060. Its totient is φ = 29859840.

The previous prime is 112026221. The next prime is 112026263. The reversal of 112026240 is 42620211.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 5184 = 10584^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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 19 ways as a sum of consecutive naturals, for example, 50760 + ... + 52920.

Almost surely, 2112026240 is an apocalyptic number.

112026240 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 112026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200125530).

112026240 is an abundant number, since it is smaller than the sum of its proper divisors (288224820).

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

112026240 is an equidigital number, since it uses as much as digits as its factorization.

112026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112026240 is about 10584.2448951260. The cubic root of 112026240 is about 482.0660940224.

Adding to 112026240 its reverse (42620211), we get a palindrome (154646451).

The spelling of 112026240 in words is "one hundred twelve million, twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2161 2592 2880 3240 3456 4320 4322 5184 5760 6480 6483 8640 8644 10368 10805 12960 12966 17280 17288 19449 21610 25920 25932 32415 34576 38898 43220 51840 51864 58347 64830 69152 77796 86440 97245 103728 116694 129660 138304 155592 172880 175041 194490 207456 233388 259320 276608 291735 311184 345760 350082 388980 414912 466776 518640 583470 622368 691520 700164 777960 829824 875205 933552 1037280 1166940 1244736 1383040 1400328 1555920 1750410 1867104 2074560 2333880 2489472 2800656 3111840 3500820 3734208 4149120 4667760 5601312 6223680 7001640 7468416 9335520 11202624 12447360 14003280 18671040 22405248 28006560 37342080 56013120 112026240