Search a number
-
+
18987008 = 21173127
BaseRepresentation
bin100100001101…
…1100000000000
31022201122021112
41020123200000
514330041013
61514542452
7320246465
oct110334000
938648245
1018987008
11a799247
126437a28
133c1a321
14274366c
151a00ba8
hex121b800

18987008 has 48 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 9289728.

The previous prime is 18986999. The next prime is 18987019. The reversal of 18987008 is 80078981.

It is a congruent number.

It is an unprimeable number.

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, 149441 + ... + 149567.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 218987008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

18987008 is an abundant number, since it is smaller than the sum of its proper divisors (19800832).

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

18987008 is an equidigital number, since it uses as much as digits as its factorization.

18987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 18987008 is about 4357.4084040861. The cubic root of 18987008 is about 266.7793301721.

The spelling of 18987008 in words is "eighteen million, nine hundred eighty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 64 73 127 128 146 254 256 292 508 512 584 1016 1024 1168 2032 2048 2336 4064 4672 8128 9271 9344 16256 18542 18688 32512 37084 37376 65024 74168 74752 130048 148336 149504 260096 296672 593344 1186688 2373376 4746752 9493504 18987008