Base | Representation |
---|---|
bin | 111110101000… |
… | …110101000000 |
3 | 1010220020020002 |
4 | 332220311000 |
5 | 13200421120 |
6 | 1343535132 |
7 | 256366121 |
oct | 76506500 |
9 | 33806202 |
10 | 16420160 |
11 | 92a5789 |
12 | 55ba4a8 |
13 | 352bb93 |
14 | 2276048 |
15 | 1695375 |
hex | fa8d40 |
16420160 has 84 divisors (see below), whose sum is σ = 41295828. Its totient is φ = 6217728.
The previous prime is 16420153. The next prime is 16420171. The reversal of 16420160 is 6102461.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 6635776 + 9784384 = 2576^2 + 3128^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169232 + ... + 169328.
It is an arithmetic number, because the mean of its divisors is an integer number (491617).
Almost surely, 216420160 is an apocalyptic number.
16420160 is a gapful number since it is divisible by the number (10) 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 16420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647914).
16420160 is an abundant number, since it is smaller than the sum of its proper divisors (24875668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16420160 is an equidigital number, since it uses as much as digits as its factorization.
16420160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
The square root of 16420160 is about 4052.1796603803. The cubic root of 16420160 is about 254.1708813539.
The spelling of 16420160 in words is "sixteen million, four hundred twenty thousand, one hundred sixty".
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