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13828185 = 335714633
BaseRepresentation
bin110100110000…
…000001011001
3222000112201000
4310300001121
512020000220
61212215213
7225352260
oct64600131
928015630
1013828185
117895358
12476a509
132b32177
141b9d5d7
151332390
hexd30059

13828185 has 32 divisors (see below), whose sum is σ = 28097280. Its totient is φ = 6321024.

The previous prime is 13828183. The next prime is 13828189. The reversal of 13828185 is 58182831.

It is not a de Polignac number, because 13828185 - 21 = 13828183 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13828183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6372 + ... + 8261.

It is an arithmetic number, because the mean of its divisors is an integer number (878040).

Almost surely, 213828185 is an apocalyptic number.

13828185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13828185 is an abundant number, since it is smaller than the sum of its proper divisors (14269095).

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

13828185 is a wasteful number, since it uses less digits than its factorization.

13828185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 14648 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13828185 is about 3718.6267626639. The cubic root of 13828185 is about 240.0242163065.

The spelling of 13828185 in words is "thirteen million, eight hundred twenty-eight thousand, one hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 14633 43899 73165 102431 131697 219495 307293 395091 512155 658485 921879 1536465 1975455 2765637 4609395 13828185