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14478320 = 245712549
BaseRepresentation
bin110111001110…
…101111110000
31000020120112002
4313032233300
512201301240
61234153132
7234030563
oct67165760
930216462
1014478320
11819985a
124a227a8
132ccc06c
141ccc4da
15140ed15
hexdcebf0

14478320 has 40 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 5707520.

The previous prime is 14478313. The next prime is 14478349. The reversal of 14478320 is 2387441.

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

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, 4406 + ... + 6954.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 214478320 is an apocalyptic number.

14478320 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 14478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

14478320 is an abundant number, since it is smaller than the sum of its proper divisors (19671280).

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

14478320 is a wasteful number, since it uses less digits than its factorization.

14478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 14478320 is about 3805.0387645857. The cubic root of 14478320 is about 243.7283548608.

The spelling of 14478320 in words is "fourteen million, four hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2549 2840 5098 5680 10196 12745 20392 25490 40784 50980 101960 180979 203920 361958 723916 904895 1447832 1809790 2895664 3619580 7239160 14478320