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16116016 = 247373889
BaseRepresentation
bin111101011110…
…100100110000
31010022210000111
4331132210300
513111203031
61333231104
7253661320
oct75364460
933283014
1016116016
119108224
125492494
133453607
1421d7280
1516351b1
hexf5e930

16116016 has 40 divisors (see below), whose sum is σ = 36659360. Its totient is φ = 6718464.

The previous prime is 16115999. The next prime is 16116029. The reversal of 16116016 is 61061161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200 + ... + 6088.

It is an arithmetic number, because the mean of its divisors is an integer number (916484).

Almost surely, 216116016 is an apocalyptic number.

16116016 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 16116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329680).

16116016 is an abundant number, since it is smaller than the sum of its proper divisors (20543344).

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

16116016 is a wasteful number, since it uses less digits than its factorization.

16116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 16116016 is about 4014.4758063787. The cubic root of 16116016 is about 252.5917896522.

Adding to 16116016 its reverse (61061161), we get a palindrome (77177177).

The spelling of 16116016 in words is "sixteen million, one hundred sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 3889 4144 7778 15556 27223 31112 54446 62224 108892 143893 217784 287786 435568 575572 1007251 1151144 2014502 2302288 4029004 8058008 16116016