Search a number
-
+
112305424 = 2471128287
BaseRepresentation
bin1101011000110…
…10010100010000
321211022201002011
412230122110100
5212222233144
615051032304
72532403030
oct654322420
9254281064
10112305424
1158436800
123173b694
131a36181a
1410cb58c0
159cd5a34
hex6b1a510

112305424 has 60 divisors (see below), whose sum is σ = 273371392. Its totient is φ = 43750080.

The previous prime is 112305421. The next prime is 112305433. The reversal of 112305424 is 424503211.

It is a super-2 number, since 2×1123054242 = 25225016519639552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112305395 and 112305404.

It is not an unprimeable number, because it can be changed into a prime (112305421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9409 + ... + 17695.

Almost surely, 2112305424 is an apocalyptic number.

112305424 is a gapful number since it is divisible by the number (14) 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 112305424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136685696).

112305424 is an abundant number, since it is smaller than the sum of its proper divisors (161065968).

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

112305424 is a wasteful number, since it uses less digits than its factorization.

112305424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 112305424 is about 10597.4253476965. The cubic root of 112305424 is about 482.4662190100.

Adding to 112305424 its reverse (424503211), we get a palindrome (536808635).

The spelling of 112305424 in words is "one hundred twelve million, three hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 8287 13552 16574 33148 58009 66296 91157 116018 132592 182314 232036 364628 464072 638099 729256 928144 1002727 1276198 1458512 2005454 2552396 4010908 5104792 7019089 8021816 10209584 14038178 16043632 28076356 56152712 112305424