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13828565 = 517374397
BaseRepresentation
bin110100110000…
…000111010101
3222000120020002
4310300013111
512020003230
61212221045
7225353342
oct64600725
928016202
1013828565
117895673
12476a785
132b323aa
141b9d7c9
151332545
hexd301d5

13828565 has 16 divisors (see below), whose sum is σ = 18049392. Its totient is φ = 10128384.

The previous prime is 13828559. The next prime is 13828571. The reversal of 13828565 is 56582831.

It is an interprime number because it is at equal distance from previous prime (13828559) and next prime (13828571).

It can be written as a sum of positive squares in 8 ways, for example, as 1162084 + 12666481 = 1078^2 + 3559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13828565 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 947 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (1128087).

Almost surely, 213828565 is an apocalyptic number.

It is an amenable number.

13828565 is a deficient number, since it is larger than the sum of its proper divisors (4220827).

13828565 is a wasteful number, since it uses less digits than its factorization.

13828565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456.

The product of its digits is 57600, while the sum is 38.

The square root of 13828565 is about 3718.6778564431. The cubic root of 13828565 is about 240.0264149167.

The spelling of 13828565 in words is "thirteen million, eight hundred twenty-eight thousand, five hundred sixty-five".

Divisors: 1 5 17 37 85 185 629 3145 4397 21985 74749 162689 373745 813445 2765713 13828565