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13204016 = 247313803
BaseRepresentation
bin110010010111…
…101000110000
3220211211111122
4302113220300
511340012031
61151001412
7220142450
oct62275060
926754448
1013204016
1174a9411
124509268
132974037
141a79d60
15125c47b
hexc97a30

13204016 has 40 divisors (see below), whose sum is σ = 30188544. Its totient is φ = 5474880.

The previous prime is 13204007. The next prime is 13204043. The reversal of 13204016 is 61040231.

It is a junction number, because it is equal to n+sod(n) for n = 13203985 and 13204003.

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 7 ways as a sum of consecutive naturals, for example, 1571 + ... + 5373.

Almost surely, 213204016 is an apocalyptic number.

13204016 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 13204016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094272).

13204016 is an abundant number, since it is smaller than the sum of its proper divisors (16984528).

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

13204016 is a wasteful number, since it uses less digits than its factorization.

13204016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13204016 is about 3633.7330666960. The cubic root of 13204016 is about 236.3571151868.

Adding to 13204016 its reverse (61040231), we get a palindrome (74244247).

The spelling of 13204016 in words is "thirteen million, two hundred four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 3803 7606 15212 26621 30424 53242 60848 106484 117893 212968 235786 425936 471572 825251 943144 1650502 1886288 3301004 6602008 13204016