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16085961 = 3217105137
BaseRepresentation
bin111101010111…
…001111001001
31010021020210100
4331113033021
513104222321
61332440013
7253504563
oct75271711
933236710
1016085961
119097691
125479009
133442a28
1421ca333
15162b326
hexf573c9

16085961 has 12 divisors (see below), whose sum is σ = 24602292. Its totient is φ = 10093056.

The previous prime is 16085959. The next prime is 16085969. The reversal of 16085961 is 16958061.

16085961 is a `hidden beast` number, since 1 + 60 + 8 + 596 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6125625 + 9960336 = 2475^2 + 3156^2 .

It is not a de Polignac number, because 16085961 - 21 = 16085959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16085969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52416 + ... + 52721.

It is an arithmetic number, because the mean of its divisors is an integer number (2050191).

Almost surely, 216085961 is an apocalyptic number.

It is an amenable number.

16085961 is a deficient number, since it is larger than the sum of its proper divisors (8516331).

16085961 is a wasteful number, since it uses less digits than its factorization.

16085961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105160 (or 105157 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16085961 is about 4010.7307314254. The cubic root of 16085961 is about 252.4346712015.

It can be divided in two parts, 1608 and 5961, that added together give a square (7569 = 872).

The spelling of 16085961 in words is "sixteen million, eighty-five thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 105137 315411 946233 1787329 5361987 16085961