Search a number
-
+
14084720 = 2451329467
BaseRepresentation
bin110101101110…
…101001110000
3222111120121022
4311232221300
512101202340
61221515012
7230501216
oct65565160
928446538
1014084720
117a50071
124872a68
132bc1b70
141c28cb6
1513833b5
hexd6ea70

14084720 has 80 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 5010432.

The previous prime is 14084713. The next prime is 14084729. The reversal of 14084720 is 2748041.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14084720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084729) 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 15 ways as a sum of consecutive naturals, for example, 29927 + ... + 30393.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 214084720 is an apocalyptic number.

14084720 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 14084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

14084720 is an abundant number, since it is smaller than the sum of its proper divisors (22475440).

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

14084720 is a wasteful number, since it uses less digits than its factorization.

14084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 14084720 is about 3752.9614972712. The cubic root of 14084720 is about 241.4994091720.

The spelling of 14084720 in words is "fourteen million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 467 520 580 754 934 1040 1160 1508 1868 1885 2320 2335 3016 3736 3770 4670 6032 6071 7472 7540 9340 12142 13543 15080 18680 24284 27086 30160 30355 37360 48568 54172 60710 67715 97136 108344 121420 135430 176059 216688 242840 270860 352118 485680 541720 704236 880295 1083440 1408472 1760590 2816944 3521180 7042360 14084720