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16166405 = 517892137
BaseRepresentation
bin111101101010…
…111000000101
31010102100010202
4331222320011
513114311110
61334300245
7254261243
oct75527005
933370122
1016166405
119142072
1254b7685
133470528
14220b793
1516450a5
hexf6ae05

16166405 has 16 divisors (see below), whose sum is σ = 20781360. Its totient is φ = 12029952.

The previous prime is 16166393. The next prime is 16166417. The reversal of 16166405 is 50466161.

It is an interprime number because it is at equal distance from previous prime (16166393) and next prime (16166417).

It can be written as a sum of positive squares in 8 ways, for example, as 2163841 + 14002564 = 1471^2 + 3742^2 .

It is not a de Polignac number, because 16166405 - 24 = 16166389 is a prime.

It is a super-2 number, since 2×161664052 = 522705301248050, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6497 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (1298835).

Almost surely, 216166405 is an apocalyptic number.

It is an amenable number.

16166405 is a deficient number, since it is larger than the sum of its proper divisors (4614955).

16166405 is a wasteful number, since it uses less digits than its factorization.

16166405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 16166405 is about 4020.7468211764. The cubic root of 16166405 is about 252.8547703943.

It can be divided in two parts, 161 and 66405, that added together give a palindrome (66566).

The spelling of 16166405 in words is "sixteen million, one hundred sixty-six thousand, four hundred five".

Divisors: 1 5 17 85 89 445 1513 2137 7565 10685 36329 181645 190193 950965 3233281 16166405