Search a number
-
+
285380 = 22519751
BaseRepresentation
bin1000101101011000100
3112111110122
41011223010
533113010
610041112
72266004
oct1055304
9474418
10285380
11185457
12119198
139cb84
1476004
1559855
hex45ac4

285380 has 24 divisors (see below), whose sum is σ = 631680. Its totient is φ = 108000.

The previous prime is 285377. The next prime is 285421. The reversal of 285380 is 83582.

285380 = T25 + T26 + ... + T119.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (26320).

2285380 is an apocalyptic number.

285380 is a gapful number since it is divisible by the number (20) 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 285380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315840).

285380 is an abundant number, since it is smaller than the sum of its proper divisors (346300).

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

285380 is a wasteful number, since it uses less digits than its factorization.

285380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 285380 is about 534.2096966548. The cubic root of 285380 is about 65.8376788600.

The spelling of 285380 in words is "two hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 751 1502 3004 3755 7510 14269 15020 28538 57076 71345 142690 285380