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14279328 = 25347787
BaseRepresentation
bin110110011110…
…001010100000
3222212110120000
4312132022200
512123414303
61230020000
7232241460
oct66361240
928773500
1014279328
1180732a8
124947600
132c5c60b
141c79ba0
1513c0da3
hexd9e2a0

14279328 has 120 divisors (see below), whose sum is σ = 48055392. Its totient is φ = 4074624.

The previous prime is 14279323. The next prime is 14279333. The reversal of 14279328 is 82397241.

It is an interprime number because it is at equal distance from previous prime (14279323) and next prime (14279333).

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 junction number, because it is equal to n+sod(n) for n = 14279292 and 14279301.

It is not an unprimeable number, because it can be changed into a prime (14279323) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17751 + ... + 18537.

Almost surely, 214279328 is an apocalyptic number.

14279328 is a gapful number since it is divisible by the number (18) 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 14279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24027696).

14279328 is an abundant number, since it is smaller than the sum of its proper divisors (33776064).

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

14279328 is an equidigital number, since it uses as much as digits as its factorization.

14279328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 799 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14279328 is about 3778.7998094633. The cubic root of 14279328 is about 242.6065879260.

The spelling of 14279328 in words is "fourteen million, two hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 787 864 1008 1134 1296 1512 1574 2016 2268 2361 2592 3024 3148 4536 4722 5509 6048 6296 7083 9072 9444 11018 12592 14166 16527 18144 18888 21249 22036 25184 28332 33054 37776 42498 44072 49581 56664 63747 66108 75552 84996 88144 99162 113328 127494 132216 148743 169992 176288 198324 226656 254988 264432 297486 339984 396648 446229 509976 528864 594972 679968 793296 892458 1019952 1189944 1586592 1784916 2039904 2379888 3569832 4759776 7139664 14279328