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112852080 = 243251114249
BaseRepresentation
bin1101011100111…
…11110001110000
321212100110221200
412232133301300
5212342231310
615110451200
72540140545
oct656376160
9255313850
10112852080
115877a490
1231963b00
131a4c35a3
1410db8bcc
159d929c0
hex6b9fc70

112852080 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 27356160.

The previous prime is 112852067. The next prime is 112852139. The reversal of 112852080 is 80258211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2112852080 is an apocalyptic number.

112852080 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 112852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

112852080 is an abundant number, since it is smaller than the sum of its proper divisors (300625920).

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

112852080 is a wasteful number, since it uses less digits than its factorization.

112852080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14279 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 112852080 is about 10623.1859627891. The cubic root of 112852080 is about 483.2477671226.

The spelling of 112852080 in words is "one hundred twelve million, eight hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 14249 28498 42747 56996 71245 85494 113992 128241 142490 156739 170988 213735 227984 256482 284980 313478 341976 427470 470217 512964 569960 626956 641205 683952 783695 854940 940434 1025928 1139920 1253912 1282410 1410651 1567390 1709880 1880868 2051856 2351085 2507824 2564820 2821302 3134780 3419760 3761736 4702170 5129640 5642604 6269560 7053255 7523472 9404340 10259280 11285208 12539120 14106510 18808680 22570416 28213020 37617360 56426040 112852080