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20414916 = 22367001
BaseRepresentation
bin100110111100…
…0000111000100
31102102012000000
41031320013010
520211234131
62005321300
7335344464
oct115700704
942365000
1020414916
1110584035
126a06230
1342ca242
1429d5ba4
151bd3ce6
hex13781c4

20414916 has 42 divisors (see below), whose sum is σ = 53572302. Its totient is φ = 6804000.

The previous prime is 20414903. The next prime is 20414917. The reversal of 20414916 is 61941402.

It can be written as a sum of positive squares in only one way, i.e., 16842816 + 3572100 = 4104^2 + 1890^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20414916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 585 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (1275531).

Almost surely, 220414916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26786151).

20414916 is an abundant number, since it is smaller than the sum of its proper divisors (33157386).

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

20414916 is an equidigital number, since it uses as much as digits as its factorization.

20414916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20414916 is about 4518.2868434839. The cubic root of 20414916 is about 273.3060208019.

The spelling of 20414916 in words is "twenty million, four hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 7001 14002 21003 28004 42006 63009 84012 126018 189027 252036 378054 567081 756108 1134162 1701243 2268324 3402486 5103729 6804972 10207458 20414916