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13818336 = 253720563
BaseRepresentation
bin110100101101…
…100111100000
3222000001012020
4310231213200
512014141321
61212101440
7225311460
oct64554740
928001166
1013818336
117888a14
124764880
132b2a83c
141b99ba0
15132e4c6
hexd2d9e0

13818336 has 48 divisors (see below), whose sum is σ = 41457024. Its totient is φ = 3947904.

The previous prime is 13818323. The next prime is 13818341. The reversal of 13818336 is 63381831.

It is a happy number.

13818336 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13818297 and 13818306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9610 + ... + 10953.

It is an arithmetic number, because the mean of its divisors is an integer number (863688).

Almost surely, 213818336 is an apocalyptic number.

13818336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13818336 is an abundant number, since it is smaller than the sum of its proper divisors (27638688).

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

13818336 is a wasteful number, since it uses less digits than its factorization.

13818336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20583 (or 20575 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 13818336 is about 3717.3022475984. The cubic root of 13818336 is about 239.9672177446.

The spelling of 13818336 in words is "thirteen million, eight hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20563 41126 61689 82252 123378 143941 164504 246756 287882 329008 431823 493512 575764 658016 863646 987024 1151528 1727292 1974048 2303056 3454584 4606112 6909168 13818336