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14282080 = 255233881
BaseRepresentation
bin110110011110…
…110101100000
3222212121022221
4312132311200
512124011310
61230040424
7232252501
oct66366540
928777287
1014282080
11807537a
124949114
132c60947
141c7aba8
1513c1ada
hexd9ed60

14282080 has 48 divisors (see below), whose sum is σ = 35217504. Its totient is φ = 5463040.

The previous prime is 14282077. The next prime is 14282087. The reversal of 14282080 is 8028241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14282087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1740 + ... + 5620.

It is an arithmetic number, because the mean of its divisors is an integer number (733698).

Almost surely, 214282080 is an apocalyptic number.

14282080 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 14282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608752).

14282080 is an abundant number, since it is smaller than the sum of its proper divisors (20935424).

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

14282080 is a wasteful number, since it uses less digits than its factorization.

14282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 14282080 is about 3779.1639287017. The cubic root of 14282080 is about 242.6221724699.

The spelling of 14282080 in words is "fourteen million, two hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 3881 7762 15524 19405 31048 38810 62096 77620 89263 124192 155240 178526 310480 357052 446315 620960 714104 892630 1428208 1785260 2856416 3570520 7141040 14282080