Search a number
-
+
112353020 = 225131932239
BaseRepresentation
bin1101011001001…
…01111011111100
321211102010100222
412230211323330
5212230244040
615052040512
72532661553
oct654457374
9254363328
10112353020
115846953a
1231763138
131a37a3a0
1410cc8d9a
159ce4bb5
hex6b25efc

112353020 has 48 divisors (see below), whose sum is σ = 255521280. Its totient is φ = 41250816.

The previous prime is 112353019. The next prime is 112353041. The reversal of 112353020 is 20353211.

It is a super-2 number, since 2×1123530202 = 25246402206240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112353020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49061 + ... + 51299.

It is an arithmetic number, because the mean of its divisors is an integer number (5323360).

Almost surely, 2112353020 is an apocalyptic number.

112353020 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 112353020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127760640).

112353020 is an abundant number, since it is smaller than the sum of its proper divisors (143168260).

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

112353020 is a wasteful number, since it uses less digits than its factorization.

112353020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 112353020 is about 10599.6707496035. The cubic root of 112353020 is about 482.5343671548.

The spelling of 112353020 in words is "one hundred twelve million, three hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2239 2509 3860 4478 5018 8956 10036 11195 12545 22390 25090 29107 44780 50180 58214 116428 145535 291070 432127 582140 864254 1728508 2160635 4321270 5617651 8642540 11235302 22470604 28088255 56176510 112353020