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14003280 = 243452161
BaseRepresentation
bin110101011010…
…110001010000
3222100102220000
4311122301100
512041101110
61220050000
7230011614
oct65326120
928312800
1014003280
1179a4965
124833900
132b93a85
141c07344
1513691c0
hexd5ac50

14003280 has 100 divisors (see below), whose sum is σ = 48657972. Its totient is φ = 3732480.

The previous prime is 14003273. The next prime is 14003281. The reversal of 14003280 is 8230041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 7096896 = 2628^2 + 2664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003281) 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, 5400 + ... + 7560.

Almost surely, 214003280 is an apocalyptic number.

14003280 is a gapful number since it is divisible by the number (10) 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 14003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328986).

14003280 is an abundant number, since it is smaller than the sum of its proper divisors (34654692).

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

14003280 is a wasteful number, since it uses less digits than its factorization.

14003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14003280 is about 3742.0956695413. The cubic root of 14003280 is about 241.0330470112.

The spelling of 14003280 in words is "fourteen million, three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2161 3240 4322 6480 6483 8644 10805 12966 17288 19449 21610 25932 32415 34576 38898 43220 51864 58347 64830 77796 86440 97245 103728 116694 129660 155592 172880 175041 194490 233388 259320 291735 311184 350082 388980 466776 518640 583470 700164 777960 875205 933552 1166940 1400328 1555920 1750410 2333880 2800656 3500820 4667760 7001640 14003280