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112796640 = 25325117121
BaseRepresentation
bin1101011100100…
…10001111100000
321212020122220100
412232102033200
5212333443030
615105342400
72536520115
oct656221740
9255218810
10112796640
1158741870
1231937a00
131a4a4298
1410da290c
159d81360
hex6b923e0

112796640 has 144 divisors (see below), whose sum is σ = 419970096. Its totient is φ = 27340800.

The previous prime is 112796627. The next prime is 112796641. The reversal of 112796640 is 46697211.

112796640 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112796595 and 112796604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112796641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12280 + ... + 19400.

It is an arithmetic number, because the mean of its divisors is an integer number (2916459).

Almost surely, 2112796640 is an apocalyptic number.

112796640 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 112796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209985048).

112796640 is an abundant number, since it is smaller than the sum of its proper divisors (307173456).

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

112796640 is a wasteful number, since it uses less digits than its factorization.

112796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 112796640 is about 10620.5762555522. The cubic root of 112796640 is about 483.1686203179.

The spelling of 112796640 in words is "one hundred twelve million, seven hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7121 7920 14242 15840 21363 28484 35605 42726 56968 64089 71210 78331 85452 106815 113936 128178 142420 156662 170904 213630 227872 234993 256356 284840 313324 320445 341808 391655 427260 469986 512712 569680 626648 640890 683616 704979 783310 854520 939972 1025424 1139360 1174965 1253296 1281780 1409958 1566620 1709040 1879944 2050848 2349930 2506592 2563560 2819916 3133240 3418080 3524895 3759888 4699860 5127120 5639832 6266480 7049790 7519776 9399720 10254240 11279664 12532960 14099580 18799440 22559328 28199160 37598880 56398320 112796640