Base | Representation |
---|---|
bin | 111110101101… |
… | …101110000000 |
3 | 1010221020201000 |
4 | 332231232000 |
5 | 13202041232 |
6 | 1344212000 |
7 | 256511406 |
oct | 76555600 |
9 | 33836630 |
10 | 16440192 |
11 | 930983a |
12 | 560a000 |
13 | 3538032 |
14 | 227d476 |
15 | 169b27c |
hex | fadb80 |
16440192 has 128 divisors (see below), whose sum is σ = 49939200. Its totient is φ = 5322240.
The previous prime is 16440181. The next prime is 16440197. The reversal of 16440192 is 29104461.
16440192 is a `hidden beast` number, since 1 + 644 + 0 + 19 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×164401923 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16440197) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231517 + ... + 231587.
It is an arithmetic number, because the mean of its divisors is an integer number (390150).
Almost surely, 216440192 is an apocalyptic number.
16440192 is a gapful number since it is divisible by the number (12) 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 16440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600).
16440192 is an abundant number, since it is smaller than the sum of its proper divisors (33499008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16440192 is an equidigital number, since it uses as much as digits as its factorization.
16440192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 16440192 is about 4054.6506631275. The cubic root of 16440192 is about 254.2741991046.
The spelling of 16440192 in words is "sixteen million, four hundred forty thousand, one hundred ninety-two".
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