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285390 = 23357151
BaseRepresentation
bin1000101101011001110
3112111111000
41011223032
533113030
610041130
72266020
oct1055316
9474430
10285390
11185466
121191a6
139cb91
1476010
1559860
hex45ace

285390 has 64 divisors (see below), whose sum is σ = 875520. Its totient is φ = 64800.

The previous prime is 285377. The next prime is 285421. The reversal of 285390 is 93582.

285390 is a nontrivial binomial coefficient, being equal to C(756, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2285390 is an apocalyptic number.

285390 is the 755-th triangular number and also the 378-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437760).

285390 is an abundant number, since it is smaller than the sum of its proper divisors (590130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285390 is a wasteful number, since it uses less digits than its factorization.

285390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 285390 is about 534.2190561932. The cubic root of 285390 is about 65.8384478570.

The spelling of 285390 in words is "two hundred eighty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 151 189 210 270 302 315 378 453 630 755 906 945 1057 1359 1510 1890 2114 2265 2718 3171 4077 4530 5285 6342 6795 8154 9513 10570 13590 15855 19026 20385 28539 31710 40770 47565 57078 95130 142695 285390