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13830128 = 241366491
BaseRepresentation
bin110100110000…
…011111110000
3222000122100222
4310300133300
512020031003
61212232212
7225361034
oct64603760
928018328
1013830128
117896864
12476b668
132b33010
141ba01c4
151332c38
hexd307f0

13830128 has 20 divisors (see below), whose sum is σ = 28857528. Its totient is φ = 6383040.

The previous prime is 13830127. The next prime is 13830149. The reversal of 13830128 is 82103831.

13830128 is digitally balanced in base 2, because in such base 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 (26).

It is a junction number, because it is equal to n+sod(n) for n = 13830097 and 13830106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13830121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33038 + ... + 33453.

Almost surely, 213830128 is an apocalyptic number.

It is an amenable number.

13830128 is an abundant number, since it is smaller than the sum of its proper divisors (15027400).

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

13830128 is a wasteful number, since it uses less digits than its factorization.

13830128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66512 (or 66506 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13830128 is about 3718.8880058426. Note that the first 3 decimals coincide. The cubic root of 13830128 is about 240.0354577242.

Adding to 13830128 its reverse (82103831), we get a palindrome (95933959).

The spelling of 13830128 in words is "thirteen million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 66491 132982 265964 531928 864383 1063856 1728766 3457532 6915064 13830128