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112003248 = 24373110753
BaseRepresentation
bin1101010110100…
…00100010110000
321210202100120110
412223100202300
5212133100443
615040341320
72530004040
oct653204260
9253670513
10112003248
115824a775
1231614840
131a287116
1410c37720
159c76233
hex6ad08b0

112003248 has 80 divisors (see below), whose sum is σ = 341374976. Its totient is φ = 30965760.

The previous prime is 112003223. The next prime is 112003253. The reversal of 112003248 is 842300211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5040 + ... + 15792.

Almost surely, 2112003248 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 112003248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170687488).

112003248 is an abundant number, since it is smaller than the sum of its proper divisors (229371728).

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

112003248 is a wasteful number, since it uses less digits than its factorization.

112003248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112003248 is about 10583.1586967219. The cubic root of 112003248 is about 482.0331123984.

Adding to 112003248 its reverse (842300211), we get a palindrome (954303459).

The spelling of 112003248 in words is "one hundred twelve million, three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 10753 21506 32259 43012 64518 75271 86024 129036 150542 172048 225813 258072 301084 333343 451626 516144 602168 666686 903252 1000029 1204336 1333372 1806504 2000058 2333401 2666744 3613008 4000116 4666802 5333488 7000203 8000232 9333604 14000406 16000464 18667208 28000812 37334416 56001624 112003248