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16166016 = 273214033
BaseRepresentation
bin111101101010…
…110010000000
31010102022121100
4331222302000
513114303031
61334254400
7254260146
oct75526200
933368540
1016166016
119141849
1254b7400
1334702b9
14220b596
151644de6
hexf6ac80

16166016 has 48 divisors (see below), whose sum is σ = 46522710. Its totient is φ = 5388288.

The previous prime is 16166009. The next prime is 16166041. The reversal of 16166016 is 61066161.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 484416 = 3960^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×161660162 = 522680146624512, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 5865 + ... + 8168.

Almost surely, 216166016 is an apocalyptic number.

16166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16166016 is an abundant number, since it is smaller than the sum of its proper divisors (30356694).

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

16166016 is a wasteful number, since it uses less digits than its factorization.

16166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14053 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16166016 is about 4020.6984467876. The cubic root of 16166016 is about 252.8527422936.

The spelling of 16166016 in words is "sixteen million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14033 28066 42099 56132 84198 112264 126297 168396 224528 252594 336792 449056 505188 673584 898112 1010376 1347168 1796224 2020752 2694336 4041504 5388672 8083008 16166016