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16066008 = 23327127251
BaseRepresentation
bin111101010010…
…010111011000
31010020020102100
4331102113120
513103103013
61332203400
7253362450
oct75222730
933206370
1016066008
1190836a2
125469560
13343691a
1421c2d60
151625473
hexf525d8

16066008 has 96 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 4536000.

The previous prime is 16065979. The next prime is 16066009. The reversal of 16066008 is 80066061.

It is a super-2 number, since 2×160660082 = 516233226112128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16066009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63883 + ... + 64133.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 216066008 is an apocalyptic number.

16066008 is a gapful number since it is divisible by the number (18) 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 16066008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

16066008 is an abundant number, since it is smaller than the sum of its proper divisors (34253352).

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

16066008 is a wasteful number, since it uses less digits than its factorization.

16066008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16066008 is about 4008.2425076335. The cubic root of 16066008 is about 252.3302548311.

The spelling of 16066008 in words is "sixteen million, sixty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 251 252 254 381 502 504 508 753 762 889 1004 1016 1143 1506 1524 1757 1778 2008 2259 2286 2667 3012 3048 3514 3556 4518 4572 5271 5334 6024 7028 7112 8001 9036 9144 10542 10668 14056 15813 16002 18072 21084 21336 31626 31877 32004 42168 63252 63754 64008 95631 126504 127508 191262 223139 255016 286893 382524 446278 573786 669417 765048 892556 1147572 1338834 1785112 2008251 2295144 2677668 4016502 5355336 8033004 16066008