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13824018 = 2321359077
BaseRepresentation
bin110100101111…
…000000010010
3222000022222200
4310233000102
512014332033
61212144030
7225334155
oct64570022
928008880
1013824018
11789220a
124768016
132b302c0
141b9bc9c
151331013
hexd2f012

13824018 has 24 divisors (see below), whose sum is σ = 32256588. Its totient is φ = 4253472.

The previous prime is 13824017. The next prime is 13824023. The reversal of 13824018 is 81042831.

It can be written as a sum of positive squares in 2 ways, for example, as 12089529 + 1734489 = 3477^2 + 1317^2 .

It is a super-2 number, since 2×138240182 = 382206947328648, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 13823982 and 13824000.

It is not an unprimeable number, because it can be changed into a prime (13824017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29305 + ... + 29772.

Almost surely, 213824018 is an apocalyptic number.

13824018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13824018 is an abundant number, since it is smaller than the sum of its proper divisors (18432570).

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

13824018 is a wasteful number, since it uses less digits than its factorization.

13824018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59098 (or 59095 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13824018 is about 3718.0664329729. The cubic root of 13824018 is about 240.0001041666. Note that the first 3 decimals are identical.

Adding to 13824018 its reverse (81042831), we get a palindrome (94866849).

The spelling of 13824018 in words is "thirteen million, eight hundred twenty-four thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 59077 118154 177231 354462 531693 768001 1063386 1536002 2304003 4608006 6912009 13824018