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112430624 = 2523173883
BaseRepresentation
bin1101011001110…
…00111000100000
321211120001211012
412230320320200
5212240234444
615053440052
72533434035
oct654707040
9254501735
10112430624
1158511879
12317a0028
131a3a67c7
1410d0938c
159d0cb9e
hex6b38e20

112430624 has 48 divisors (see below), whose sum is σ = 232569792. Its totient is φ = 53399808.

The previous prime is 112430621. The next prime is 112430641. The reversal of 112430624 is 426034211.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 112430624.

It is not an unprimeable number, because it can be changed into a prime (112430621) 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, 126887 + ... + 127769.

It is an arithmetic number, because the mean of its divisors is an integer number (4845204).

Almost surely, 2112430624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896).

112430624 is an abundant number, since it is smaller than the sum of its proper divisors (120139168).

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

112430624 is a wasteful number, since it uses less digits than its factorization.

112430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 112430624 is about 10603.3307974428. The cubic root of 112430624 is about 482.6454396140.

Adding to 112430624 its reverse (426034211), we get a palindrome (538464835).

The spelling of 112430624 in words is "one hundred twelve million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 173 184 346 368 692 736 883 1384 1766 2768 3532 3979 5536 7064 7958 14128 15916 20309 28256 31832 40618 63664 81236 127328 152759 162472 305518 324944 611036 649888 1222072 2444144 3513457 4888288 7026914 14053828 28107656 56215312 112430624