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14128480 = 255227389
BaseRepresentation
bin110101111001…
…010101100000
3222120210122001
4311321111200
512104102410
61222453344
7231042622
oct65712540
928523561
1014128480
117a7aa33
124894254
132c08a62
141c3ac12
15139133a
hexd79560

14128480 has 48 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 5612032.

The previous prime is 14128469. The next prime is 14128489. The reversal of 14128480 is 8482141.

14128480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141284802 = 399227894220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14128489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36126 + ... + 36514.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 214128480 is an apocalyptic number.

14128480 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 14128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

14128480 is an abundant number, since it is smaller than the sum of its proper divisors (19483280).

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

14128480 is a wasteful number, since it uses less digits than its factorization.

14128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 14128480 is about 3758.7870383942. The cubic root of 14128480 is about 241.7492564856.

The spelling of 14128480 in words is "fourteen million, one hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 389 454 778 908 1135 1556 1816 1945 2270 3112 3632 3890 4540 6224 7264 7780 9080 12448 15560 18160 31120 36320 62240 88303 176606 353212 441515 706424 883030 1412848 1766060 2825696 3532120 7064240 14128480