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1112192424 = 23337811907
BaseRepresentation
bin100001001001010…
…1011010110101000
32212111210020012000
41002102223112220
54234210124144
6302210051000
736363323340
oct10222532650
92774706160
101112192424
115208926a2
12270579a60
1314955c435
14a79d3d20
1567993769
hex424ab5a8

1112192424 has 128 divisors (see below), whose sum is σ = 3539020800. Its totient is φ = 317027520.

The previous prime is 1112192423. The next prime is 1112192453. The reversal of 1112192424 is 4242912111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1112192423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1225779 + ... + 1226685.

It is an arithmetic number, because the mean of its divisors is an integer number (27648600).

Almost surely, 21112192424 is an apocalyptic number.

1112192424 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 1112192424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769510400).

1112192424 is an abundant number, since it is smaller than the sum of its proper divisors (2426828376).

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

1112192424 is a wasteful number, since it uses less digits than its factorization.

1112192424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1112192424 is about 33349.5490824089. The cubic root of 1112192424 is about 1036.0800487731.

The spelling of 1112192424 in words is "one billion, one hundred twelve million, one hundred ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 811 907 1512 1622 1814 2433 2721 3244 3628 4866 5442 5677 6349 6488 7256 7299 8163 9732 10884 11354 12698 14598 16326 17031 19047 19464 21768 21897 22708 24489 25396 29196 32652 34062 38094 43794 45416 48978 50792 51093 57141 58392 65304 68124 76188 87588 97956 102186 114282 136248 152376 153279 171423 175176 195912 204372 228564 306558 342846 408744 457128 613116 685692 735577 1226232 1371384 1471154 2206731 2942308 4413462 5149039 5884616 6620193 8826924 10298078 13240386 15447117 17653848 19860579 20596156 26480772 30894234 39721158 41192312 46341351 52961544 61788468 79442316 92682702 123576936 139024053 158884632 185365404 278048106 370730808 556096212 1112192424