Search a number
-
+
18966016 = 29172179
BaseRepresentation
bin100100001011…
…0011000000000
31022200120111001
41020112120000
514323403031
61514301344
7320131336
oct110263000
938616431
1018966016
11a7844a3
126427854
133c108c4
142739b56
1519e9861
hex1216600

18966016 has 40 divisors (see below), whose sum is σ = 40142520. Its totient is φ = 8921088.

The previous prime is 18966011. The next prime is 18966019. The reversal of 18966016 is 61066981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18966011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7615 + ... + 9793.

It is an arithmetic number, because the mean of its divisors is an integer number (1003563).

Almost surely, 218966016 is an apocalyptic number.

18966016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071260).

18966016 is an abundant number, since it is smaller than the sum of its proper divisors (21176504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18966016 is an equidigital number, since it uses as much as digits as its factorization.

18966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 18966016 is about 4354.9989667048. The cubic root of 18966016 is about 266.6809770098.

The spelling of 18966016 in words is "eighteen million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 2179 4352 4358 8704 8716 17432 34864 37043 69728 74086 139456 148172 278912 296344 557824 592688 1115648 1185376 2370752 4741504 9483008 18966016