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18718120 = 235467953
BaseRepresentation
bin100011101100…
…1110110101000
31022012222102201
41013121312220
514242434440
61505105544
7315046531
oct107316650
938188381
1018718120
11a625223
1263282b4
133b54b15
1426b3688
15199b19a
hex11d9da8

18718120 has 16 divisors (see below), whose sum is σ = 42115860. Its totient is φ = 7487232.

The previous prime is 18718103. The next prime is 18718121. The reversal of 18718120 is 2181781.

18718120 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 3844 = 4326^2 + 62^2 .

It is not an unprimeable number, because it can be changed into a prime (18718121) 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 3 ways as a sum of consecutive naturals, for example, 233937 + ... + 234016.

Almost surely, 218718120 is an apocalyptic number.

18718120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18718120 is an abundant number, since it is smaller than the sum of its proper divisors (23397740).

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

18718120 is a wasteful number, since it uses less digits than its factorization.

18718120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467964 (or 467960 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 18718120 is about 4326.4442675250. Note that the first 3 decimals coincide. The cubic root of 18718120 is about 265.5139899684.

The spelling of 18718120 in words is "eighteen million, seven hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 467953 935906 1871812 2339765 3743624 4679530 9359060 18718120