Search a number
-
+
14431820 = 22513471181
BaseRepresentation
bin110111000011…
…011001001100
31000011012201212
4313003121030
512143304240
61233153552
7233445164
oct67033114
930135655
1014431820
118167927
1249bb8b8
132cb3b50
141cb95a4
151401165
hexdc364c

14431820 has 48 divisors (see below), whose sum is σ = 33360768. Its totient is φ = 5210880.

The previous prime is 14431817. The next prime is 14431829. The reversal of 14431820 is 2813441.

14431820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14431829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11630 + ... + 12810.

It is an arithmetic number, because the mean of its divisors is an integer number (695016).

Almost surely, 214431820 is an apocalyptic number.

14431820 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 14431820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680384).

14431820 is an abundant number, since it is smaller than the sum of its proper divisors (18928948).

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

14431820 is a wasteful number, since it uses less digits than its factorization.

14431820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14431820 is about 3798.9235317390. The cubic root of 14431820 is about 243.4671476830.

It can be divided in two parts, 14431 and 820, that added together give a palindrome (15251).

The spelling of 14431820 in words is "fourteen million, four hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1181 1222 2362 2444 3055 4724 5905 6110 11810 12220 15353 23620 30706 55507 61412 76765 111014 153530 222028 277535 307060 555070 721591 1110140 1443182 2886364 3607955 7215910 14431820