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13418752 = 28234353
BaseRepresentation
bin110011001100…
…000100000000
3221020202001211
4303030010000
511413400002
61155335504
7222025504
oct63140400
927222054
1013418752
117635786
1245b1594
132a1a9b9
141ad4304
1512a0dd7
hexccc100

13418752 has 72 divisors (see below), whose sum is σ = 29139264. Its totient is φ = 6150144.

The previous prime is 13418749. The next prime is 13418771. The reversal of 13418752 is 25781431.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253158 + ... + 253210.

It is an arithmetic number, because the mean of its divisors is an integer number (404712).

Almost surely, 213418752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569632).

13418752 is an abundant number, since it is smaller than the sum of its proper divisors (15720512).

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

13418752 is an equidigital number, since it uses as much as digits as its factorization.

13418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 13418752 is about 3663.1614761023. The cubic root of 13418752 is about 237.6315179236.

The spelling of 13418752 in words is "thirteen million, four hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 43 46 53 64 86 92 106 128 172 184 212 256 344 368 424 688 736 848 989 1219 1376 1472 1696 1978 2279 2438 2752 2944 3392 3956 4558 4876 5504 5888 6784 7912 9116 9752 11008 13568 15824 18232 19504 31648 36464 39008 52417 63296 72928 78016 104834 126592 145856 156032 209668 253184 291712 312064 419336 583424 838672 1677344 3354688 6709376 13418752