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13828327 = 174318917
BaseRepresentation
bin110100110000…
…000011100111
3222000112220021
4310300003213
512020001302
61212220011
7225352552
oct64600347
928015807
1013828327
117895477
12476a607
132b32256
141b9d699
151332437
hexd300e7

13828327 has 8 divisors (see below), whose sum is σ = 14983056. Its totient is φ = 12711552.

The previous prime is 13828303. The next prime is 13828349. The reversal of 13828327 is 72382831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13828327 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13828292 and 13828301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822327) 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 7 ways as a sum of consecutive naturals, for example, 8728 + ... + 10189.

It is an arithmetic number, because the mean of its divisors is an integer number (1872882).

Almost surely, 213828327 is an apocalyptic number.

13828327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13828327 is a deficient number, since it is larger than the sum of its proper divisors (1154729).

13828327 is a wasteful number, since it uses less digits than its factorization.

13828327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977.

The product of its digits is 16128, while the sum is 34.

The square root of 13828327 is about 3718.6458556846. The cubic root of 13828327 is about 240.0250378971.

The spelling of 13828327 in words is "thirteen million, eight hundred twenty-eight thousand, three hundred twenty-seven".

Divisors: 1 17 43 731 18917 321589 813431 13828327