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13829235 = 357131707
BaseRepresentation
bin110100110000…
…010001110011
3222000121010220
4310300101303
512020013420
61212224123
7225355320
oct64602163
928017126
1013829235
117896122
12476b043
132b327a4
141b9db47
151332840
hexd30473

13829235 has 16 divisors (see below), whose sum is σ = 25287936. Its totient is φ = 6321888.

The previous prime is 13829227. The next prime is 13829239. The reversal of 13829235 is 53292831.

It is not a de Polignac number, because 13829235 - 23 = 13829227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13829196 and 13829205.

It is not an unprimeable number, because it can be changed into a prime (13829239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65749 + ... + 65958.

It is an arithmetic number, because the mean of its divisors is an integer number (1580496).

Almost surely, 213829235 is an apocalyptic number.

13829235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13829235 is a deficient number, since it is larger than the sum of its proper divisors (11458701).

13829235 is a wasteful number, since it uses less digits than its factorization.

13829235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131722.

The product of its digits is 12960, while the sum is 33.

The square root of 13829235 is about 3718.7679411332. The cubic root of 13829235 is about 240.0302913155.

The spelling of 13829235 in words is "thirteen million, eight hundred twenty-nine thousand, two hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 131707 395121 658535 921949 1975605 2765847 4609745 13829235