Search a number
-
+
16988384 = 257149509
BaseRepresentation
bin100000011001…
…1100011100000
31011222002200102
41000303203200
513322112014
61404041532
7264253550
oct100634340
934862612
1016988384
119653696
1258332a8
13369a6ca
142383160
1517588de
hex10338e0

16988384 has 48 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 7217664.

The previous prime is 16988381. The next prime is 16988393. The reversal of 16988384 is 48388961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16988381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33122 + ... + 33630.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 216988384 is an apocalyptic number.

16988384 is a gapful number since it is divisible by the number (14) 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 16988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

16988384 is an abundant number, since it is smaller than the sum of its proper divisors (21567616).

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

16988384 is a wasteful number, since it uses less digits than its factorization.

16988384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 16988384 is about 4121.6967379952. The cubic root of 16988384 is about 257.0695810023.

The spelling of 16988384 in words is "sixteen million, nine hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 509 596 1018 1043 1192 2036 2086 2384 3563 4072 4172 4768 7126 8144 8344 14252 16288 16688 28504 33376 57008 75841 114016 151682 303364 530887 606728 1061774 1213456 2123548 2426912 4247096 8494192 16988384