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13689856 = 21029461
BaseRepresentation
bin110100001110…
…010000000000
3221202111221201
4310032100000
512001033411
61205230544
7224235055
oct64162000
927674851
1013689856
117800434
124702454
132ab420b
141b6502c
1513063c1
hexd0e400

13689856 has 44 divisors (see below), whose sum is σ = 28371420. Its totient is φ = 6594560.

The previous prime is 13689821. The next prime is 13689857. The reversal of 13689856 is 65898631.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 7929856 = 2400^2 + 2816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13689857) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29466 + ... + 29926.

It is an arithmetic number, because the mean of its divisors is an integer number (644805).

Almost surely, 213689856 is an apocalyptic number.

13689856 is a gapful number since it is divisible by the number (16) 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 13689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185710).

13689856 is an abundant number, since it is smaller than the sum of its proper divisors (14681564).

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

13689856 is an equidigital number, since it uses as much as digits as its factorization.

13689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 13689856 is about 3699.9805404894. The cubic root of 13689856 is about 239.2211790958.

The spelling of 13689856 in words is "thirteen million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 461 464 512 922 928 1024 1844 1856 3688 3712 7376 7424 13369 14752 14848 26738 29504 29696 53476 59008 106952 118016 213904 236032 427808 472064 855616 1711232 3422464 6844928 13689856