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14830320 = 2435611013
BaseRepresentation
bin111000100100…
…101011110000
31000220110101010
4320210223300
512244032240
61245510520
7240025041
oct70445360
930813333
1014830320
11840a26a
124b72440
1330c334b
141d808c8
15147e280
hexe24af0

14830320 has 80 divisors (see below), whose sum is σ = 46773792. Its totient is φ = 3886080.

The previous prime is 14830297. The next prime is 14830349. The reversal of 14830320 is 2303841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14134 + ... + 15146.

Almost surely, 214830320 is an apocalyptic number.

14830320 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 14830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386896).

14830320 is an abundant number, since it is smaller than the sum of its proper divisors (31943472).

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

14830320 is a wasteful number, since it uses less digits than its factorization.

14830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 14830320 is about 3851.0154505013. The cubic root of 14830320 is about 245.6877524209.

The spelling of 14830320 in words is "fourteen million, eight hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1013 1220 1464 1830 2026 2440 2928 3039 3660 4052 4880 5065 6078 7320 8104 10130 12156 14640 15195 16208 20260 24312 30390 40520 48624 60780 61793 81040 121560 123586 185379 243120 247172 308965 370758 494344 617930 741516 926895 988688 1235860 1483032 1853790 2471720 2966064 3707580 4943440 7415160 14830320