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14058080 = 255412143
BaseRepresentation
bin110101101000…
…001001100000
3222110020001122
4311220021200
512044324310
61221151412
7230330441
oct65501140
928406048
1014058080
117a32053
12485b568
132bb29ba
141c1d2c8
15137a555
hexd68260

14058080 has 48 divisors (see below), whose sum is σ = 34038144. Its totient is φ = 5483520.

The previous prime is 14058073. The next prime is 14058131. The reversal of 14058080 is 8085041.

It is a super-2 number, since 2×140580802 = 395259226572800, which contains 22 as substring.

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, 5489 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (709128).

Almost surely, 214058080 is an apocalyptic number.

14058080 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 14058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019072).

14058080 is an abundant number, since it is smaller than the sum of its proper divisors (19980064).

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

14058080 is a wasteful number, since it uses less digits than its factorization.

14058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 14058080 is about 3749.4106203509. The cubic root of 14058080 is about 241.3470548313.

The spelling of 14058080 in words is "fourteen million, fifty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 2143 3280 4286 6560 8572 10715 17144 21430 34288 42860 68576 85720 87863 171440 175726 342880 351452 439315 702904 878630 1405808 1757260 2811616 3514520 7029040 14058080