Search a number
-
+
16814896 = 2472931167
BaseRepresentation
bin100000000100…
…1001100110000
31011122021200221
41000021030300
513301034041
61400222424
7262632010
oct100111460
934567627
1016814896
11954530a
12576aa14
133639757
142339c40
1517222d1
hex1009330

16814896 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 6693120.

The previous prime is 16814891. The next prime is 16814929. The reversal of 16814896 is 69841861.

It is not an unprimeable number, because it can be changed into a prime (16814891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100605 + ... + 100771.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 216814896 is an apocalyptic number.

16814896 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 16814896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

16814896 is an abundant number, since it is smaller than the sum of its proper divisors (23182544).

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

16814896 is a wasteful number, since it uses less digits than its factorization.

16814896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The square root of 16814896 is about 4100.5970297019. The cubic root of 16814896 is about 256.1915070933.

The spelling of 16814896 in words is "sixteen million, eight hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 167 203 217 232 248 334 406 434 464 496 668 812 868 899 1169 1336 1624 1736 1798 2338 2672 3248 3472 3596 4676 4843 5177 6293 7192 9352 9686 10354 12586 14384 18704 19372 20708 25172 33901 36239 38744 41416 50344 67802 72478 77488 82832 100688 135604 144956 150133 271208 289912 300266 542416 579824 600532 1050931 1201064 2101862 2402128 4203724 8407448 16814896