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13828212 = 2233612099
BaseRepresentation
bin110100110000…
…000001110100
3222000112202000
4310300001310
512020000322
61212215300
7225352326
oct64600164
928015660
1013828212
117895382
12476a530
132b32198
141b9d616
1513323ac
hexd30074

13828212 has 48 divisors (see below), whose sum is σ = 36456000. Its totient is φ = 4531680.

The previous prime is 13828211. The next prime is 13828247. The reversal of 13828212 is 21282831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5539 + ... + 7637.

It is an arithmetic number, because the mean of its divisors is an integer number (759500).

Almost surely, 213828212 is an apocalyptic number.

13828212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228000).

13828212 is an abundant number, since it is smaller than the sum of its proper divisors (22627788).

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

13828212 is a wasteful number, since it uses less digits than its factorization.

13828212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13828212 is about 3718.6303930345. The cubic root of 13828212 is about 240.0243725248.

The spelling of 13828212 in words is "thirteen million, eight hundred twenty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2099 2196 3294 4198 6297 6588 8396 12594 18891 25188 37782 56673 75564 113346 128039 226692 256078 384117 512156 768234 1152351 1536468 2304702 3457053 4609404 6914106 13828212