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16893921 = 31129127139
BaseRepresentation
bin100000001110…
…0011111100001
31011210022002210
41000130133201
513311101141
61402032333
7263411262
oct100343741
934708083
1016893921
119599720
1257a86a9
133666705
14235a969
15173a916
hex101c7e1

16893921 has 32 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 9737280.

The previous prime is 16893917. The next prime is 16893931. The reversal of 16893921 is 12939861.

It is not a de Polignac number, because 16893921 - 22 = 16893917 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16893921.

It is not an unprimeable number, because it can be changed into a prime (16893901) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 121470 + ... + 121608.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 216893921 is an apocalyptic number.

16893921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16893921 is a deficient number, since it is larger than the sum of its proper divisors (8910879).

16893921 is a wasteful number, since it uses less digits than its factorization.

16893921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 23328, while the sum is 39.

The square root of 16893921 is about 4110.2215268766. The cubic root of 16893921 is about 256.5922212459.

The spelling of 16893921 in words is "sixteen million, eight hundred ninety-three thousand, nine hundred twenty-one".

Divisors: 1 3 11 29 33 87 127 139 319 381 417 957 1397 1529 3683 4031 4191 4587 11049 12093 17653 40513 44341 52959 121539 133023 194183 511937 582549 1535811 5631307 16893921