| Base | Representation |
|---|---|
| bin | 10100000010100… |
| … | …00000010100000 |
| 3 | 102201022100211221 |
| 4 | 22001100002200 |
| 5 | 321013200000 |
| 6 | 24402544424 |
| 7 | 4110553315 |
| oct | 1201200240 |
| 9 | 381270757 |
| 10 | 168100000 |
| 11 | 86985022 |
| 12 | 48368114 |
| 13 | 28a98573 |
| 14 | 1847ad0c |
| 15 | eb5761a |
| hex | a0500a0 |
168100000 has 108 divisors (see below), whose sum is σ = 423992394. Its totient is φ = 65600000.
The previous prime is 168099989. The next prime is 168100003. The reversal of 168100000 is 1861.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 9 ways, for example, as 157051024 + 11048976 = 12532^2 + 3324^2 .
It is a super-2 number, since 2×1681000002 = 56515220000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a zygodrome in base 4.
It is not an unprimeable number, because it can be changed into a prime (168100003) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4099980 + ... + 4100020.
Almost surely, 2168100000 is an apocalyptic number.
168100000 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 168100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211996197).
168100000 is an abundant number, since it is smaller than the sum of its proper divisors (255892394).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168100000 is an frugal number, since it uses more digits than its factorization.
168100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 117 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 16.
The square root of 168100000 is about 12965.3384066904. The cubic root of 168100000 is about 551.8942946791.
Adding to 168100000 its reverse (1861), we get a palindrome (168101861).
The spelling of 168100000 in words is "one hundred sixty-eight million, one hundred thousand".
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