Search a number
-
+
14463320 = 2352379199
BaseRepresentation
bin110111001011…
…000101011000
31000012210221112
4313023011120
512200311240
61233555452
7233636054
oct67130530
930183845
1014463320
118189563
124a15b88
132cc52a1
141cc6c64
15140a665
hexdcb158

14463320 has 64 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 5436288.

The previous prime is 14463289. The next prime is 14463349. The reversal of 14463320 is 2336441.

It is a happy number.

14463320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72581 + ... + 72779.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 214463320 is an apocalyptic number.

14463320 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 14463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

14463320 is an abundant number, since it is smaller than the sum of its proper divisors (20096680).

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

14463320 is a wasteful number, since it uses less digits than its factorization.

14463320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 14463320 is about 3803.0671832088. The cubic root of 14463320 is about 243.6441556673.

Adding to 14463320 its reverse (2336441), we get a palindrome (16799761).

The spelling of 14463320 in words is "fourteen million, four hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 199 230 316 395 398 460 632 790 796 920 995 1580 1592 1817 1990 3160 3634 3980 4577 7268 7960 9085 9154 14536 15721 18170 18308 22885 31442 36340 36616 45770 62884 72680 78605 91540 125768 157210 183080 314420 361583 628840 723166 1446332 1807915 2892664 3615830 7231660 14463320