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14421820 = 2257313323
BaseRepresentation
bin110111000000…
…111100111100
31000010201000111
4313000330330
512142444240
61233035404
7233404060
oct67007474
930121014
1014421820
118160366
1249b5b64
132cac42a
141cb5aa0
1513ed1ea
hexdc0f3c

14421820 has 48 divisors (see below), whose sum is σ = 35739648. Its totient is φ = 4783680.

The previous prime is 14421793. The next prime is 14421821. The reversal of 14421820 is 2812441.

It is a super-3 number, since 3×144218203 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14421791 and 14421800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679 + ... + 6001.

It is an arithmetic number, because the mean of its divisors is an integer number (744576).

Almost surely, 214421820 is an apocalyptic number.

14421820 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 14421820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869824).

14421820 is an abundant number, since it is smaller than the sum of its proper divisors (21317828).

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

14421820 is a wasteful number, since it uses less digits than its factorization.

14421820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14421820 is about 3797.6071413457. The cubic root of 14421820 is about 243.4109008148.

The spelling of 14421820 in words is "fourteen million, four hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3323 4340 6646 13292 16615 23261 33230 46522 66460 93044 103013 116305 206026 232610 412052 465220 515065 721091 1030130 1442182 2060260 2884364 3605455 7210910 14421820