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14673820 = 2257281373
BaseRepresentation
bin110111111110…
…011110011100
31000121111200211
4313332132130
512224030240
61242302204
7235503550
oct67763634
930544624
1014673820
118312727
124ab7964
13306a045
141d3d860
15144cbea
hexdfe79c

14673820 has 48 divisors (see below), whose sum is σ = 35437248. Its totient is φ = 4999680.

The previous prime is 14673817. The next prime is 14673821. The reversal of 14673820 is 2837641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14673821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39154 + ... + 39526.

It is an arithmetic number, because the mean of its divisors is an integer number (738276).

Almost surely, 214673820 is an apocalyptic number.

14673820 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 14673820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718624).

14673820 is an abundant number, since it is smaller than the sum of its proper divisors (20763428).

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

14673820 is a wasteful number, since it uses less digits than its factorization.

14673820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 14673820 is about 3830.6422438019. The cubic root of 14673820 is about 244.8204710051.

The spelling of 14673820 in words is "fourteen million, six hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 373 562 746 1124 1405 1492 1865 1967 2611 2810 3730 3934 5222 5620 7460 7868 9835 10444 13055 19670 26110 39340 52220 104813 209626 419252 524065 733691 1048130 1467382 2096260 2934764 3668455 7336910 14673820