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13814388 = 223476091
BaseRepresentation
bin110100101100…
…101001110100
3221222211210000
4310230221310
512014030023
61212031300
7225264120
oct64545164
927884700
1013814388
117885a55
124762530
132b28ac3
141b98580
15132d243
hexd2ca74

13814388 has 60 divisors (see below), whose sum is σ = 41279392. Its totient is φ = 3946320.

The previous prime is 13814371. The next prime is 13814389. The reversal of 13814388 is 88341831.

13814388 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814389) 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, 778 + ... + 5313.

Almost surely, 213814388 is an apocalyptic number.

13814388 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 13814388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639696).

13814388 is an abundant number, since it is smaller than the sum of its proper divisors (27465004).

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

13814388 is a wasteful number, since it uses less digits than its factorization.

13814388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6103 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 13814388 is about 3716.7711793975. The cubic root of 13814388 is about 239.9443621028.

The spelling of 13814388 in words is "thirteen million, eight hundred fourteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6091 12182 18273 24364 36546 42637 54819 73092 85274 109638 127911 164457 170548 219276 255822 328914 383733 493371 511644 657828 767466 986742 1151199 1534932 1973484 2302398 3453597 4604796 6907194 13814388