Search a number
-
+
14200320 = 2935432
BaseRepresentation
bin110110001010…
…111000000000
3222201110011210
4312022320000
512113402240
61224210120
7231462231
oct66127000
928643153
1014200320
118019a02
124909940
132c32674
141c59088
1513a7780
hexd8ae00

14200320 has 120 divisors (see below), whose sum is σ = 46476936. Its totient is φ = 3698688.

The previous prime is 14200283. The next prime is 14200327. The reversal of 14200320 is 2300241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14200296 and 14200305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330219 + ... + 330261.

Almost surely, 214200320 is an apocalyptic number.

14200320 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 14200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238468).

14200320 is an abundant number, since it is smaller than the sum of its proper divisors (32276616).

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

14200320 is an frugal number, since it uses more digits than its factorization.

14200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14200320 is about 3768.3311956355. The cubic root of 14200320 is about 242.1583100026.

Adding to 14200320 its reverse (2300241), we get a palindrome (16500561).

The spelling of 14200320 in words is "fourteen million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1032 1280 1290 1376 1536 1720 1849 1920 2064 2560 2580 2752 3440 3698 3840 4128 5160 5504 5547 6880 7396 7680 8256 9245 10320 11008 11094 13760 14792 16512 18490 20640 22016 22188 27520 27735 29584 33024 36980 41280 44376 55040 55470 59168 66048 73960 82560 88752 110080 110940 118336 147920 165120 177504 221880 236672 295840 330240 355008 443760 473344 591680 710016 887520 946688 1183360 1420032 1775040 2366720 2840064 3550080 4733440 7100160 14200320