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14146288 = 2413232957
BaseRepresentation
bin110101111101…
…101011110000
3222121201001121
4311331223300
512110140123
61223112024
7231145552
oct65755360
928551047
1014146288
117a92352
1248a2614
132c13bb0
141c434d2
15139675d
hexd7daf0

14146288 has 40 divisors (see below), whose sum is σ = 30810528. Its totient is φ = 6243072.

The previous prime is 14146267. The next prime is 14146289. The reversal of 14146288 is 88264141.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3306 + ... + 6262.

Almost surely, 214146288 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 14146288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405264).

14146288 is an abundant number, since it is smaller than the sum of its proper divisors (16664240).

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

14146288 is a wasteful number, since it uses less digits than its factorization.

14146288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2995 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 14146288 is about 3761.1551417085. The cubic root of 14146288 is about 241.8507834079.

The spelling of 14146288 in words is "fourteen million, one hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 2957 4784 5914 11828 23656 38441 47312 68011 76882 136022 153764 272044 307528 544088 615056 884143 1088176 1768286 3536572 7073144 14146288