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14240240 = 245759431
BaseRepresentation
bin110110010100…
…100111110000
3222210110221022
4312110213300
512121141430
61225115012
7232016510
oct66244760
928713838
1014240240
1180469a3
124928a68
132c478a1
141c69840
1513b44e5
hexd949f0

14240240 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 4788480.

The previous prime is 14240209. The next prime is 14240249. The reversal of 14240240 is 4204241.

14240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240249) 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, 32825 + ... + 33255.

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

Almost surely, 214240240 is an apocalyptic number.

14240240 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 14240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

14240240 is an abundant number, since it is smaller than the sum of its proper divisors (24328720).

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

14240240 is a wasteful number, since it uses less digits than its factorization.

14240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14240240 is about 3773.6242526251. The cubic root of 14240240 is about 242.3850165195.

Adding to 14240240 its reverse (4204241), we get a palindrome (18444481).

The spelling of 14240240 in words is "fourteen million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 431 472 560 590 826 862 944 1180 1652 1724 2065 2155 2360 3017 3304 3448 4130 4310 4720 6034 6608 6896 8260 8620 12068 15085 16520 17240 24136 25429 30170 33040 34480 48272 50858 60340 101716 120680 127145 178003 203432 241360 254290 356006 406864 508580 712012 890015 1017160 1424024 1780030 2034320 2848048 3560060 7120120 14240240