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13828605 = 357131701
BaseRepresentation
bin110100110000…
…000111111101
3222000120021120
4310300013331
512020003410
61212221153
7225353430
oct64600775
928016246
1013828605
1178956aa
12476a7b9
132b3240b
141b9d817
151332570
hexd301fd

13828605 has 16 divisors (see below), whose sum is σ = 25286784. Its totient is φ = 6321600.

The previous prime is 13828583. The next prime is 13828631. The reversal of 13828605 is 50682831.

It is a happy number.

It is not a de Polignac number, because 13828605 - 28 = 13828349 is a prime.

It is a super-3 number, since 3×138286053 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65746 + ... + 65955.

It is an arithmetic number, because the mean of its divisors is an integer number (1580424).

Almost surely, 213828605 is an apocalyptic number.

13828605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13828605 is a deficient number, since it is larger than the sum of its proper divisors (11458179).

13828605 is a wasteful number, since it uses less digits than its factorization.

13828605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131716.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13828605 is about 3718.6832346948. The cubic root of 13828605 is about 240.0266463470.

The spelling of 13828605 in words is "thirteen million, eight hundred twenty-eight thousand, six hundred five".

Divisors: 1 3 5 7 15 21 35 105 131701 395103 658505 921907 1975515 2765721 4609535 13828605