Search a number
-
+
16993816 = 237734157
BaseRepresentation
bin100000011010…
…0111000011000
31011222101010121
41000310320120
513322300231
61404123024
7264305440
oct100647030
934871117
1016993816
119657784
125836474
1336a0018
142385120
15175a311
hex1034e18

16993816 has 32 divisors (see below), whose sum is σ = 36923040. Its totient is φ = 7181568.

The previous prime is 16993799. The next prime is 16993817. The reversal of 16993816 is 61839961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16993817) 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, 2010 + ... + 6166.

It is an arithmetic number, because the mean of its divisors is an integer number (1153845).

Almost surely, 216993816 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 16993816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461520).

16993816 is an abundant number, since it is smaller than the sum of its proper divisors (19929224).

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

16993816 is a wasteful number, since it uses less digits than its factorization.

16993816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4239 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 16993816 is about 4122.3556372540. The cubic root of 16993816 is about 257.0969772348.

The spelling of 16993816 in words is "sixteen million, nine hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 4157 8314 16628 29099 33256 58198 116396 232792 303461 606922 1213844 2124227 2427688 4248454 8496908 16993816