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16102016 = 27717971
BaseRepresentation
bin111101011011…
…001010000000
31010022001210222
4331123022000
513110231031
61333042212
7253602440
oct75331200
933261728
1016102016
1190a8757
125486368
13344a128
1421d2120
151630e7b
hexf5b280

16102016 has 32 divisors (see below), whose sum is σ = 36662880. Its totient is φ = 6900480.

The previous prime is 16102013. The next prime is 16102027. The reversal of 16102016 is 61020161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 16101985 and 16102003.

It is not an unprimeable number, because it can be changed into a prime (16102013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8090 + ... + 9881.

It is an arithmetic number, because the mean of its divisors is an integer number (1145715).

Almost surely, 216102016 is an apocalyptic number.

16102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16102016 is an abundant number, since it is smaller than the sum of its proper divisors (20560864).

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

16102016 is an equidigital number, since it uses as much as digits as its factorization.

16102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17992 (or 17980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 16102016 is about 4012.7317378564. The cubic root of 16102016 is about 252.5186262115.

Adding to 16102016 its reverse (61020161), we get a palindrome (77122177).

The spelling of 16102016 in words is "sixteen million, one hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 17971 35942 71884 125797 143768 251594 287536 503188 575072 1006376 1150144 2012752 2300288 4025504 8051008 16102016