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386560 = 295151
BaseRepresentation
bin1011110011000000000
3201122021001
41132120000
544332220
612141344
73166666
oct1363000
9648231
10386560
11244479
12167854
13106c45
14a0c36
157980a
hex5e600

386560 has 40 divisors (see below), whose sum is σ = 932976. Its totient is φ = 153600.

The previous prime is 386549. The next prime is 386569. The reversal of 386560 is 65683.

386560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2485 + ... + 2635.

2386560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466488).

386560 is an abundant number, since it is smaller than the sum of its proper divisors (546416).

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

386560 is an equidigital number, since it uses as much as digits as its factorization.

386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 386560 is about 621.7394952872. The cubic root of 386560 is about 72.8459879299.

It can be divided in two parts, 386 and 560, that added together give a triangular number (946 = T43).

The spelling of 386560 in words is "three hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 256 302 320 512 604 640 755 1208 1280 1510 2416 2560 3020 4832 6040 9664 12080 19328 24160 38656 48320 77312 96640 193280 386560