Search a number
-
+
18806016 = 28347521
BaseRepresentation
bin100011110111…
…1010100000000
31022101110000010
41013233110000
514303243031
61511024520
7315564015
oct107572400
938343003
1018806016
11a685269
12636b140
133b85b28
1426d770c
1519b7246
hex11ef500

18806016 has 72 divisors (see below), whose sum is σ = 51214464. Its totient is φ = 6123520.

The previous prime is 18805951. The next prime is 18806077. The reversal of 18806016 is 61060881.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35836 + ... + 36356.

It is an arithmetic number, because the mean of its divisors is an integer number (711312).

Almost surely, 218806016 is an apocalyptic number.

18806016 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 18806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607232).

18806016 is an abundant number, since it is smaller than the sum of its proper divisors (32408448).

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

18806016 is an equidigital number, since it uses as much as digits as its factorization.

18806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 18806016 is about 4336.5903657136. The cubic root of 18806016 is about 265.9289387505.

Adding to 18806016 its reverse (61060881), we get a palindrome (79866897).

The spelling of 18806016 in words is "eighteen million, eight hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 521 564 752 768 1042 1128 1504 1563 2084 2256 3008 3126 4168 4512 6016 6252 8336 9024 12032 12504 16672 18048 24487 25008 33344 36096 48974 50016 66688 73461 97948 100032 133376 146922 195896 200064 293844 391792 400128 587688 783584 1175376 1567168 2350752 3134336 4701504 6268672 9403008 18806016