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112397824 = 297112851
BaseRepresentation
bin1101011001100…
…00111000000000
321211111101211101
412230300320000
5212233212244
615053024144
72533236310
oct654607000
9254441741
10112397824
115849a170
1231785054
131a3948b6
1410cdb440
159d030d4
hex6b30e00

112397824 has 80 divisors (see below), whose sum is σ = 280089216. Its totient is φ = 43776000.

The previous prime is 112397819. The next prime is 112397827. The reversal of 112397824 is 428793211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112397827) 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, 37999 + ... + 40849.

Almost surely, 2112397824 is an apocalyptic number.

112397824 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 112397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140044608).

112397824 is an abundant number, since it is smaller than the sum of its proper divisors (167691392).

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

112397824 is an equidigital number, since it uses as much as digits as its factorization.

112397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2871 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 112397824 is about 10601.7840008180. The cubic root of 112397824 is about 482.5985001190.

The spelling of 112397824 in words is "one hundred twelve million, three hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 2851 3584 4928 5632 5702 9856 11404 19712 19957 22808 31361 39424 39914 45616 62722 79828 91232 125444 159656 182464 219527 250888 319312 364928 439054 501776 638624 729856 878108 1003552 1277248 1459712 1756216 2007104 2554496 3512432 4014208 5108992 7024864 8028416 10217984 14049728 16056832 28099456 56198912 112397824