Base | Representation |
---|---|
bin | 10100000011011… |
… | …00111010000000 |
3 | 102201112101001012 |
4 | 22001230322000 |
5 | 321030440430 |
6 | 24405300052 |
7 | 4111555121 |
oct | 1201547200 |
9 | 381471035 |
10 | 168218240 |
11 | 86a55943 |
12 | 48404628 |
13 | 28b0a328 |
14 | 184ac048 |
15 | eb7c695 |
hex | a06ce80 |
168218240 has 64 divisors (see below), whose sum is σ = 408252960. Its totient is φ = 66266112.
The previous prime is 168218233. The next prime is 168218249. The reversal of 168218240 is 42812861.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 168218197 and 168218206.
It is not an unprimeable number, because it can be changed into a prime (168218249) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40919 + ... + 44841.
Almost surely, 2168218240 is an apocalyptic number.
168218240 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 168218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204126480).
168218240 is an abundant number, since it is smaller than the sum of its proper divisors (240034720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168218240 is an equidigital number, since it uses as much as digits as its factorization.
168218240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4009 (or 3997 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 32.
The square root of 168218240 is about 12969.8974552615. The cubic root of 168218240 is about 552.0236634818.
The spelling of 168218240 in words is "one hundred sixty-eight million, two hundred eighteen thousand, two hundred forty".
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