| Base | Representation |
|---|---|
| bin | 1100010000011… |
| … | …01101001101000 |
| 3 | 21011110121112100 |
| 4 | 12020031221220 |
| 5 | 202310110420 |
| 6 | 14111413400 |
| 7 | 2355632103 |
| oct | 610155150 |
| 9 | 234417470 |
| 10 | 102816360 |
| 11 | 530454a9 |
| 12 | 2a524260 |
| 13 | 183bb6aa |
| 14 | d92573a |
| 15 | 905e190 |
| hex | 620da68 |
102816360 has 96 divisors (see below), whose sum is σ = 338013000. Its totient is φ = 27101184.
The previous prime is 102816359. The next prime is 102816361. The reversal of 102816360 is 63618201.
102816360 is a `hidden beast` number, since 1 + 0 + 28 + 1 + 636 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (102816359) and next prime (102816361).
It can be written as a sum of positive squares in 4 ways, for example, as 70257924 + 32558436 = 8382^2 + 5706^2 .
It is not an unprimeable number, because it can be changed into a prime (102816361) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 30436 + ... + 33644.
Almost surely, 2102816360 is an apocalyptic number.
102816360 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 102816360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169006500).
102816360 is an abundant number, since it is smaller than the sum of its proper divisors (235196640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102816360 is a wasteful number, since it uses less digits than its factorization.
102816360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3315 (or 3308 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 102816360 is about 10139.8402354278. The cubic root of 102816360 is about 468.4760660796.
It can be divided in two parts, 10281 and 6360, that added together give a square (16641 = 1292).
The spelling of 102816360 in words is "one hundred two million, eight hundred sixteen thousand, three hundred sixty".
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