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112424004 = 223371121229
BaseRepresentation
bin1101011001101…
…11010001000100
321211112201202000
412230313101010
5212240032004
615053345300
72533405530
oct654672104
9254481660
10112424004
1158507900
1231798230
131a3a37a4
1410d06bc0
159d0ac39
hex6b37444

112424004 has 144 divisors (see below), whose sum is σ = 366441600. Its totient is φ = 29177280.

The previous prime is 112423991. The next prime is 112424029. The reversal of 112424004 is 400424211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 90862 + ... + 92090.

Almost surely, 2112424004 is an apocalyptic number.

112424004 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 112424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183220800).

112424004 is an abundant number, since it is smaller than the sum of its proper divisors (254017596).

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

112424004 is a wasteful number, since it uses less digits than its factorization.

112424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 112424004 is about 10603.0186267874. The cubic root of 112424004 is about 482.6359665855.

Adding to 112424004 its reverse (400424211), we get a palindrome (512848215).

The spelling of 112424004 in words is "one hundred twelve million, four hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 693 726 756 847 924 1089 1188 1229 1386 1452 1694 2079 2178 2458 2541 2772 3267 3388 3687 4158 4356 4916 5082 6534 7374 7623 8316 8603 10164 11061 13068 13519 14748 15246 17206 22122 22869 25809 27038 30492 33183 34412 40557 44244 45738 51618 54076 66366 77427 81114 91476 94633 103236 121671 132732 148709 154854 162228 189266 232281 243342 283899 297418 309708 365013 378532 446127 464562 486684 567798 594836 730026 851697 892254 929124 1040963 1135596 1338381 1460052 1703394 1784508 2081926 2555091 2676762 3122889 3406788 4015143 4163852 5110182 5353524 6245778 8030286 9368667 10220364 12491556 16060572 18737334 28106001 37474668 56212002 112424004