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112348080 = 24335134001
BaseRepresentation
bin1101011001001…
…00101110110000
321211101212121000
412230210232300
5212230114310
615052002000
72532641265
oct654445660
9254355530
10112348080
1158465859
1231760300
131a378070
1410cc726c
159ce34c0
hex6b24bb0

112348080 has 160 divisors (see below), whose sum is σ = 416848320. Its totient is φ = 27648000.

The previous prime is 112348039. The next prime is 112348091. The reversal of 112348080 is 80843211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26080 + ... + 30080.

It is an arithmetic number, because the mean of its divisors is an integer number (2605302).

Almost surely, 2112348080 is an apocalyptic number.

112348080 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 112348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208424160).

112348080 is an abundant number, since it is smaller than the sum of its proper divisors (304500240).

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

112348080 is a wasteful number, since it uses less digits than its factorization.

112348080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112348080 is about 10599.4377209360. The cubic root of 112348080 is about 482.5272949381.

The spelling of 112348080 in words is "one hundred twelve million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4001 4680 5616 7020 8002 9360 12003 14040 16004 20005 24006 28080 32008 36009 40010 48012 52013 60015 64016 72018 80020 96024 104026 108027 120030 144036 156039 160040 180045 192048 208052 216054 240060 260065 288072 312078 320080 360090 416104 432108 468117 480120 520130 540135 576144 624156 720180 780195 832208 864216 936234 960240 1040260 1080270 1248312 1404351 1440360 1560390 1728432 1872468 2080520 2160540 2340585 2496624 2808702 2880720 3120780 3744936 4161040 4321080 4681170 5617404 6241560 7021755 7489872 8642160 9362340 11234808 12483120 14043510 18724680 22469616 28087020 37449360 56174040 112348080