Search a number
-
+
16516096 = 2101272
BaseRepresentation
bin111111000000…
…010000000000
31011002002211021
4333000100000
513212003341
61345555224
7260245612
oct77002000
934062737
1016516096
119360873
125645b14
13356374c
14229cdb2
1516b39d1
hexfc0400

16516096 has 33 divisors (see below), whose sum is σ = 33278079. Its totient is φ = 8193024.

The previous prime is 16516063. The next prime is 16516099. The reversal of 16516096 is 69061561.

The square root of 16516096 is 4064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16516099) 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 2 ways as a sum of consecutive naturals, for example, 129985 + ... + 130111.

Almost surely, 216516096 is an apocalyptic number.

16516096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16516096 is the 4064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16516096

16516096 is an abundant number, since it is smaller than the sum of its proper divisors (16761983).

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

16516096 is an frugal number, since it uses more digits than its factorization.

16516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The cubic root of 16516096 is about 254.6649244998.

It can be divided in two parts, 165 and 16096, that added together give a palindrome (16261).

The spelling of 16516096 in words is "sixteen million, five hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 4064 8128 16129 16256 32258 32512 64516 65024 129032 130048 258064 516128 1032256 2064512 4129024 8258048 16516096