| Base | Representation |
|---|---|
| bin | 10111010000010… |
| … | …001101101010000 |
| 3 | 1000012010022022100 |
| 4 | 113100101231100 |
| 5 | 1244334032200 |
| 6 | 102414040400 |
| 7 | 12445105365 |
| oct | 2720215520 |
| 9 | 1005108270 |
| 10 | 390142800 |
| 11 | 190253073 |
| 12 | aa7a9100 |
| 13 | 62a9ca38 |
| 14 | 39b5a46c |
| 15 | 243b7d00 |
| hex | 17411b50 |
390142800 has 360 divisors, whose sum is σ = 1452686040. Its totient is φ = 96768000.
The previous prime is 390142787. The next prime is 390142847. The reversal of 390142800 is 8241093.
It can be written as a sum of positive squares in 12 ways, for example, as 1296 + 390141504 = 36^2 + 19752^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×3901428002 = 304422808783680000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3862750 + ... + 3862850.
It is an arithmetic number, because the mean of its divisors is an integer number (4035239).
Almost surely, 2390142800 is an apocalyptic number.
390142800 is a gapful number since it is divisible by the number (30) 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 390142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726343020).
390142800 is an abundant number, since it is smaller than the sum of its proper divisors (1062543240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
390142800 is a wasteful number, since it uses less digits than its factorization.
390142800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191 (or 177 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 390142800 is about 19752.0328067771. The cubic root of 390142800 is about 730.7035189439.
Adding to 390142800 its reverse (8241093), we get a palindrome (398383893).
It can be divided in two parts, 39014 and 2800, that added together give a palindrome (41814).
The spelling of 390142800 in words is "three hundred ninety million, one hundred forty-two thousand, eight hundred".
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