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13818168 = 23337131937
BaseRepresentation
bin110100101101…
…100100111000
3222000000222000
4310231210320
512014140133
61212101000
7225311130
oct64554470
928000860
1013818168
117888881
124764760
132b2a740
141b99ac0
15132e413
hexd2d938

13818168 has 256 divisors, whose sum is σ = 51072000. Its totient is φ = 3359232.

The previous prime is 13818163. The next prime is 13818169. The reversal of 13818168 is 86181831.

13818168 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 hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13818163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373446 + ... + 373482.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 213818168 is an apocalyptic number.

13818168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13818168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536000).

13818168 is an abundant number, since it is smaller than the sum of its proper divisors (37253832).

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

13818168 is a wasteful number, since it uses less digits than its factorization.

13818168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 13818168 is about 3717.2796504971. The cubic root of 13818168 is about 239.9662452528.

Adding to 13818168 its reverse (86181831), we get a palindrome (99999999).

The spelling of 13818168 in words is "thirteen million, eight hundred eighteen thousand, one hundred sixty-eight".