Base | Representation |
---|---|
bin | 100000000010… |
… | …0110001000000 |
3 | 1011121100210100 |
4 | 1000010301000 |
5 | 13244443421 |
6 | 1400002400 |
7 | 262525035 |
oct | 100046100 |
9 | 34540710 |
10 | 16796736 |
11 | 9532700 |
12 | 5760400 |
13 | 36313c8 |
14 | 233338c |
15 | 171bc26 |
hex | 1004c40 |
16796736 has 126 divisors (see below), whose sum is σ = 53139086. Its totient is φ = 5068800.
The previous prime is 16796723. The next prime is 16796783. The reversal of 16796736 is 63769761.
It can be written as a sum of positive squares in only one way, i.e., 15681600 + 1115136 = 3960^2 + 1056^2 .
It is a plaindrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 16796691 and 16796700.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69576 + ... + 69816.
Almost surely, 216796736 is an apocalyptic number.
16796736 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 16796736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569543).
16796736 is an abundant number, since it is smaller than the sum of its proper divisors (36342350).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16796736 is a wasteful number, since it uses less digits than its factorization.
16796736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 281 (or 257 counting only the distinct ones).
The product of its digits is 285768, while the sum is 45.
The square root of 16796736 is about 4098.3821198126. The cubic root of 16796736 is about 256.0992453740.
The spelling of 16796736 in words is "sixteen million, seven hundred ninety-six thousand, seven hundred thirty-six".
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