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14046320 = 245199241
BaseRepresentation
bin110101100101…
…010001110000
3222102121221002
4311211101300
512043440240
61221021132
7230251241
oct65452160
928377832
1014046320
117a24232
1248547a8
132baa542
141c18cc8
151376d15
hexd65470

14046320 has 40 divisors (see below), whose sum is σ = 34380240. Its totient is φ = 5322240.

The previous prime is 14046299. The next prime is 14046341. The reversal of 14046320 is 2364041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14046299) and next prime (14046341).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14046292 and 14046301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3101 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (859506).

Almost surely, 214046320 is an apocalyptic number.

14046320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14046320 is an abundant number, since it is smaller than the sum of its proper divisors (20333920).

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

14046320 is a wasteful number, since it uses less digits than its factorization.

14046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 14046320 is about 3747.8420457645. The cubic root of 14046320 is about 241.2797380722.

The spelling of 14046320 in words is "fourteen million, forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 9241 18482 36964 46205 73928 92410 147856 175579 184820 351158 369640 702316 739280 877895 1404632 1755790 2809264 3511580 7023160 14046320