Search a number
-
+
112123424 = 2571313821
BaseRepresentation
bin1101010111011…
…01111000100000
321210222110102102
412223231320200
5212200422144
615043105532
72531014310
oct653557040
9253873372
10112123424
1158321a96
12316722a8
131a2c9a2a
1410c69440
159c9bb4e
hex6aede20

112123424 has 48 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 47673600.

The previous prime is 112123421. The next prime is 112123439. The reversal of 112123424 is 424321211.

It is a junction number, because it is equal to n+sod(n) for n = 112123396 and 112123405.

It is not an unprimeable number, because it can be changed into a prime (112123421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27434 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2112123424 is an apocalyptic number.

112123424 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 112123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

112123424 is an abundant number, since it is smaller than the sum of its proper divisors (142146592).

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

112123424 is a wasteful number, since it uses less digits than its factorization.

112123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3961 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 112123424 is about 10588.8348745270. The cubic root of 112123424 is about 482.2054529513.

Adding to 112123424 its reverse (424321211), we get a palindrome (536444635).

The spelling of 112123424 in words is "one hundred twelve million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 3821 4192 7336 7642 14672 15284 26747 29344 30568 53494 61136 106988 122272 213976 427952 500551 855904 1001102 2002204 3503857 4004408 7007714 8008816 14015428 16017632 28030856 56061712 112123424