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20718144 = 263235969
BaseRepresentation
bin100111100001…
…0001001000000
31102222120221200
41033002021000
520300440034
62020021200
7341046516
oct117021100
942876850
1020718144
1110770937
126b31800
1343a5275
142a744b6
151c43a99
hex13c2240

20718144 has 42 divisors (see below), whose sum is σ = 59386470. Its totient is φ = 6905856.

The previous prime is 20718109. The next prime is 20718149. The reversal of 20718144 is 44181702.

It can be written as a sum of positive squares in only one way, i.e., 20358144 + 360000 = 4512^2 + 600^2 .

It is not an unprimeable number, because it can be changed into a prime (20718149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17409 + ... + 18560.

Almost surely, 220718144 is an apocalyptic number.

20718144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20718144 is an abundant number, since it is smaller than the sum of its proper divisors (38668326).

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

20718144 is a wasteful number, since it uses less digits than its factorization.

20718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35987 (or 35974 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20718144 is about 4551.7187962351. The cubic root of 20718144 is about 274.6525374745.

Adding to 20718144 its reverse (44181702), we get a palindrome (64899846).

The spelling of 20718144 in words is "twenty million, seven hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35969 71938 107907 143876 215814 287752 323721 431628 575504 647442 863256 1151008 1294884 1726512 2302016 2589768 3453024 5179536 6906048 10359072 20718144