Search a number
-
+
14216720 = 245753479
BaseRepresentation
bin110110001110…
…111000010000
3222202021200012
4312032320100
512114413340
61224414052
7231561110
oct66167020
928667605
1014216720
118030261
124917328
132c39c7b
141c61040
1513ac565
hexd8ee10

14216720 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 4772352.

The previous prime is 14216711. The next prime is 14216729. The reversal of 14216720 is 2761241.

It is an interprime number because it is at equal distance from previous prime (14216711) and next prime (14216729).

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

It is not an unprimeable number, because it can be changed into a prime (14216729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29441 + ... + 29919.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 214216720 is an apocalyptic number.

14216720 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 14216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

14216720 is an abundant number, since it is smaller than the sum of its proper divisors (24352240).

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

14216720 is a wasteful number, since it uses less digits than its factorization.

14216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 14216720 is about 3770.5065972625. The cubic root of 14216720 is about 242.2514973018.

Adding to 14216720 its reverse (2761241), we get a palindrome (16977961).

The spelling of 14216720 in words is "fourteen million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 479 530 560 742 848 958 1060 1484 1855 1916 2120 2395 2968 3353 3710 3832 4240 4790 5936 6706 7420 7664 9580 13412 14840 16765 19160 25387 26824 29680 33530 38320 50774 53648 67060 101548 126935 134120 177709 203096 253870 268240 355418 406192 507740 710836 888545 1015480 1421672 1777090 2030960 2843344 3554180 7108360 14216720