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1024200112 = 241336713417
BaseRepresentation
bin111101000011000…
…000110110110000
32122101012202102111
4331003000312300
54044143400422
6245344055104
734244362105
oct7503006660
92571182374
101024200112
11486152781
12247004494
13134261290
149a04aaac
155edb1a77
hex3d0c0db0

1024200112 has 40 divisors (see below), whose sum is σ = 2143015616. Its totient is φ = 471384576.

The previous prime is 1024200109. The next prime is 1024200137. The reversal of 1024200112 is 2110024201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1024200092 and 1024200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69628 + ... + 83044.

Almost surely, 21024200112 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 1024200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071507808).

1024200112 is an abundant number, since it is smaller than the sum of its proper divisors (1118815504).

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

1024200112 is a wasteful number, since it uses less digits than its factorization.

1024200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1024200112 is about 32003.1265972561. The cubic root of 1024200112 is about 1008.0024932751.

Adding to 1024200112 its reverse (2110024201), we get a palindrome (3134224313).

The spelling of 1024200112 in words is "one billion, twenty-four million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 367 734 1468 2936 4771 5872 9542 13417 19084 26834 38168 53668 76336 107336 174421 214672 348842 697684 1395368 2790736 4924039 9848078 19696156 39392312 64012507 78784624 128025014 256050028 512100056 1024200112