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14289912 = 2333713727
BaseRepresentation
bin110110100000…
…101111111000
3222220000002000
4312200233320
512124234122
61230141000
7232314360
oct66405770
928800060
1014289912
11808024a
124951760
132c64390
141c7d9a0
1513c40ac
hexda0bf8

14289912 has 128 divisors (see below), whose sum is σ = 48921600. Its totient is φ = 3763584.

The previous prime is 14289907. The next prime is 14289917. The reversal of 14289912 is 21998241.

It is an interprime number because it is at equal distance from previous prime (14289907) and next prime (14289917).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289917) 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, 19293 + ... + 20019.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 214289912 is an apocalyptic number.

14289912 is a gapful number since it is divisible by the number (12) 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 14289912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460800).

14289912 is an abundant number, since it is smaller than the sum of its proper divisors (34631688).

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

14289912 is a wasteful number, since it uses less digits than its factorization.

14289912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14289912 is about 3780.1999947093. The cubic root of 14289912 is about 242.6665140414. Note that the first 3 decimals are identical.

The spelling of 14289912 in words is "fourteen million, two hundred eighty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 727 728 756 819 936 1092 1404 1454 1512 1638 2181 2184 2457 2808 2908 3276 4362 4914 5089 5816 6543 6552 8724 9451 9828 10178 13086 15267 17448 18902 19629 19656 20356 26172 28353 30534 37804 39258 40712 45801 52344 56706 61068 66157 75608 78516 85059 91602 113412 122136 132314 137403 157032 170118 183204 198471 226824 255177 264628 274806 340236 366408 396942 510354 529256 549612 595413 680472 793884 1020708 1099224 1190826 1587768 1786239 2041416 2381652 3572478 4763304 7144956 14289912