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16046641 = 133773457
BaseRepresentation
bin111101001101…
…101000110001
31010012020212001
4331031220301
513101443031
61331534001
7253252132
oct75155061
933166761
1016046641
119070096
12545a301
13342ab70
1421b9c89
15161e861
hexf4da31

16046641 has 16 divisors (see below), whose sum is σ = 18030544. Its totient is φ = 14183424.

The previous prime is 16046633. The next prime is 16046647. The reversal of 16046641 is 14664061.

It can be written as a sum of positive squares in 8 ways, for example, as 1147041 + 14899600 = 1071^2 + 3860^2 .

It is a 3-Lehmer number, since φ(16046641) divides (16046641-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 16046641 - 23 = 16046633 is a prime.

It is a deceptive number, since it divides R16046640.

It is not an unprimeable number, because it can be changed into a prime (16046647) 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 15 ways as a sum of consecutive naturals, for example, 34885 + ... + 35341.

It is an arithmetic number, because the mean of its divisors is an integer number (1126909).

It is a Poulet number, since it divides 216046640-1.

Almost surely, 216046641 is an apocalyptic number.

It is an amenable number.

16046641 is a deficient number, since it is larger than the sum of its proper divisors (1983903).

16046641 is a wasteful number, since it uses less digits than its factorization.

16046641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 16046641 is about 4005.8258823868. The cubic root of 16046641 is about 252.2288223530.

The spelling of 16046641 in words is "sixteen million, forty-six thousand, six hundred forty-one".

Divisors: 1 13 37 73 457 481 949 2701 5941 16909 33361 35113 219817 433693 1234357 16046641