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16145937 = 3217105529
BaseRepresentation
bin111101100101…
…111000010001
31010101022001200
4331211320101
513113132222
61334021413
7254144463
oct75457021
933338050
1016145937
119128755
1254a7869
133464112
142204133
15163deac
hexf65e11

16145937 has 12 divisors (see below), whose sum is σ = 24694020. Its totient is φ = 10130688.

The previous prime is 16145933. The next prime is 16145951. The reversal of 16145937 is 73954161.

16145937 is a `hidden beast` number, since 1 + 61 + 4 + 593 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5803281 + 10342656 = 2409^2 + 3216^2 .

It is not a de Polignac number, because 16145937 - 22 = 16145933 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16145933) 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 11 ways as a sum of consecutive naturals, for example, 52612 + ... + 52917.

It is an arithmetic number, because the mean of its divisors is an integer number (2057835).

Almost surely, 216145937 is an apocalyptic number.

16145937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16145937 is a deficient number, since it is larger than the sum of its proper divisors (8548083).

16145937 is a wasteful number, since it uses less digits than its factorization.

16145937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105552 (or 105549 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 16145937 is about 4018.2007167388. The cubic root of 16145937 is about 252.7480136736.

The spelling of 16145937 in words is "sixteen million, one hundred forty-five thousand, nine hundred thirty-seven".

Divisors: 1 3 9 17 51 153 105529 316587 949761 1793993 5381979 16145937