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14279680 = 21052789
BaseRepresentation
bin110110011110…
…010000000000
3222212111001001
4312132100000
512123422210
61230021344
7232242502
oct66362000
928774031
1014279680
118073598
124947854
132c5c81c
141c79d72
1513c103a
hexd9e400

14279680 has 44 divisors (see below), whose sum is σ = 34266780. Its totient is φ = 5709824.

The previous prime is 14279663. The next prime is 14279719. The reversal of 14279680 is 8697241.

It can be written as a sum of positive squares in 2 ways, for example, as 7054336 + 7225344 = 2656^2 + 2688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3726 + ... + 6514.

Almost surely, 214279680 is an apocalyptic number.

14279680 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 14279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133390).

14279680 is an abundant number, since it is smaller than the sum of its proper divisors (19987100).

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

14279680 is an equidigital number, since it uses as much as digits as its factorization.

14279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 14279680 is about 3778.8463848111. The cubic root of 14279680 is about 242.6085814096.

The spelling of 14279680 in words is "fourteen million, two hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 2789 5120 5578 11156 13945 22312 27890 44624 55780 89248 111560 178496 223120 356992 446240 713984 892480 1427968 1784960 2855936 3569920 7139840 14279680