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14016480 = 253529201
BaseRepresentation
bin110101011101…
…111111100000
3222101002222220
4311131333200
512042011410
61220231040
7230065242
oct65357740
928332886
1014016480
117a03875
12483b480
132b99a9a
141c0c092
15136d070
hexd5dfe0

14016480 has 48 divisors (see below), whose sum is σ = 44153424. Its totient is φ = 3737600.

The previous prime is 14016479. The next prime is 14016491. The reversal of 14016480 is 8461041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14016480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14121 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (919863).

Almost surely, 214016480 is an apocalyptic number.

14016480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14016480 is an abundant number, since it is smaller than the sum of its proper divisors (30136944).

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

14016480 is a wasteful number, since it uses less digits than its factorization.

14016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29219 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14016480 is about 3743.8589717029. The cubic root of 14016480 is about 241.1087587262.

The spelling of 14016480 in words is "fourteen million, sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29201 58402 87603 116804 146005 175206 233608 292010 350412 438015 467216 584020 700824 876030 934432 1168040 1401648 1752060 2336080 2803296 3504120 4672160 7008240 14016480