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13318020 = 223458221
BaseRepresentation
bin110010110011…
…011110000100
3221001121220000
4302303132010
511402134040
61153241300
7221126022
oct62633604
927047800
1013318020
117577031
124563230
1329b3bb1
141aa9712
151281130
hexcb3784

13318020 has 60 divisors (see below), whose sum is σ = 41784204. Its totient is φ = 3551040.

The previous prime is 13318013. The next prime is 13318027. The reversal of 13318020 is 2081331.

13318020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13318013) and next prime (13318027).

It can be written as a sum of positive squares in 2 ways, for example, as 9253764 + 4064256 = 3042^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13317984 and 13318002.

It is not an unprimeable number, because it can be changed into a prime (13318027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2491 + ... + 5730.

Almost surely, 213318020 is an apocalyptic number.

13318020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13318020 is an abundant number, since it is smaller than the sum of its proper divisors (28466184).

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

13318020 is a wasteful number, since it uses less digits than its factorization.

13318020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13318020 is about 3649.3862497686. The cubic root of 13318020 is about 237.0354057023.

Adding to 13318020 its reverse (2081331), we get a palindrome (15399351).

The spelling of 13318020 in words is "thirteen million, three hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8221 16442 24663 32884 41105 49326 73989 82210 98652 123315 147978 164420 221967 246630 295956 369945 443934 493260 665901 739890 887868 1109835 1331802 1479780 2219670 2663604 3329505 4439340 6659010 13318020