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16142016 = 263117643
BaseRepresentation
bin111101100100…
…111011000000
31010101002200110
4331210323000
513113021031
61333551320
7254130162
oct75447300
933332613
1016142016
119125810
1254a5540
1334623b7
142202932
15163cc46
hexf64ec0

16142016 has 56 divisors (see below), whose sum is σ = 46597824. Its totient is φ = 4890880.

The previous prime is 16142011. The next prime is 16142017. The reversal of 16142016 is 61024161.

16142016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16141983 and 16142001.

It is not an unprimeable number, because it can be changed into a prime (16142011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1710 + ... + 5933.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 216142016 is an apocalyptic number.

16142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16142016 is an abundant number, since it is smaller than the sum of its proper divisors (30455808).

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

16142016 is a wasteful number, since it uses less digits than its factorization.

16142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16142016 is about 4017.7127821685. The cubic root of 16142016 is about 252.7275522783.

Adding to 16142016 its reverse (61024161), we get a palindrome (77166177).

The spelling of 16142016 in words is "sixteen million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 7643 15286 22929 30572 45858 61144 84073 91716 122288 168146 183432 244576 252219 336292 366864 489152 504438 672584 733728 1008876 1345168 1467456 2017752 2690336 4035504 5380672 8071008 16142016