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112320 = 2633513
BaseRepresentation
bin11011011011000000
312201002000
4123123000
512043240
62224000
7645315
oct333300
9181060
10112320
117742a
1255000
133c180
142cd0c
1523430
hex1b6c0

112320 has 112 divisors (see below), whose sum is σ = 426720. Its totient is φ = 27648.

The previous prime is 112303. The next prime is 112327. The reversal of 112320 is 23211.

Adding to 112320 its reverse (23211), we get a palindrome (135531).

It can be divided in two parts, 1 and 12320, that added together give a palindrome (12321).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (112327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8634 + ... + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2112320 is an apocalyptic number.

112320 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 112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

112320 is an abundant number, since it is smaller than the sum of its proper divisors (314400).

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

112320 is a wasteful number, since it uses less digits than its factorization.

112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112320 is about 335.1417610505. The cubic root of 112320 is about 48.2487091031.

The spelling of 112320 in words is "one hundred twelve thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 180 192 195 208 216 234 240 260 270 288 312 320 351 360 390 416 432 468 480 520 540 576 585 624 702 720 780 832 864 936 960 1040 1080 1170 1248 1404 1440 1560 1728 1755 1872 2080 2160 2340 2496 2808 2880 3120 3510 3744 4160 4320 4680 5616 6240 7020 7488 8640 9360 11232 12480 14040 18720 22464 28080 37440 56160 112320