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112327080 = 23354432113
BaseRepresentation
bin1101011000111…
…11100110101000
321211100210210020
412230133212220
5212223431310
615051320440
72532523125
oct654374650
9254323706
10112327080
1158450aa8
1231750120
131a36b638
1410cbd74c
159cdc170
hex6b1f9a8

112327080 has 64 divisors (see below), whose sum is σ = 337901760. Its totient is φ = 29872128.

The previous prime is 112327073. The next prime is 112327081. The reversal of 112327080 is 80723211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112327080.

It is not an unprimeable number, because it can be changed into a prime (112327081) 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, 52104 + ... + 54216.

It is an arithmetic number, because the mean of its divisors is an integer number (5279715).

Almost surely, 2112327080 is an apocalyptic number.

112327080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112327080 is an abundant number, since it is smaller than the sum of its proper divisors (225574680).

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

112327080 is a wasteful number, since it uses less digits than its factorization.

112327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 112327080 is about 10598.4470560550. The cubic root of 112327080 is about 482.4972285450.

It can be divided in two parts, 1123 and 27080, that added together give a triangular number (28203 = T237).

The spelling of 112327080 in words is "one hundred twelve million, three hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 443 886 1329 1772 2113 2215 2658 3544 4226 4430 5316 6339 6645 8452 8860 10565 10632 12678 13290 16904 17720 21130 25356 26580 31695 42260 50712 53160 63390 84520 126780 253560 936059 1872118 2808177 3744236 4680295 5616354 7488472 9360590 11232708 14040885 18721180 22465416 28081770 37442360 56163540 112327080