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16989216 = 253374783
BaseRepresentation
bin100000011001…
…1110000100000
31011222010211020
41000303300200
513322123331
61404045440
7264256146
oct100636040
934863736
1016989216
119654282
125833880
13369abba
142383596
151758c96
hex1033c20

16989216 has 48 divisors (see below), whose sum is σ = 45811584. Its totient is φ = 5508864.

The previous prime is 16989199. The next prime is 16989229. The reversal of 16989216 is 61298961.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 216989216 is an apocalyptic number.

16989216 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 16989216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905792).

16989216 is an abundant number, since it is smaller than the sum of its proper divisors (28822368).

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

16989216 is a wasteful number, since it uses less digits than its factorization.

16989216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 16989216 is about 4121.7976660676. The cubic root of 16989216 is about 257.0737775639.

It can be divided in two parts, 16989 and 216, that added together give a triangular number (17205 = T185).

The spelling of 16989216 in words is "sixteen million, nine hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 4783 9566 14349 19132 28698 38264 57396 76528 114792 153056 176971 229584 353942 459168 530913 707884 1061826 1415768 2123652 2831536 4247304 5663072 8494608 16989216