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386080 = 25519127
BaseRepresentation
bin1011110010000100000
3201121121021
41132100200
544323310
612135224
73165412
oct1362040
9647537
10386080
11244082
12167514
13106966
14a09b2
15795da
hex5e420

386080 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 145152.

The previous prime is 386051. The next prime is 386083. The reversal of 386080 is 80683.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386080.

It is not an unprimeable number, because it can be changed into a prime (386083) 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 7 ways as a sum of consecutive naturals, for example, 2977 + ... + 3103.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2386080 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 386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

386080 is an abundant number, since it is smaller than the sum of its proper divisors (581600).

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

386080 is a wasteful number, since it uses less digits than its factorization.

386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 386080 is about 621.3533616228. The cubic root of 386080 is about 72.8158239563.

The spelling of 386080 in words is "three hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 127 152 160 190 254 304 380 508 608 635 760 1016 1270 1520 2032 2413 2540 3040 4064 4826 5080 9652 10160 12065 19304 20320 24130 38608 48260 77216 96520 193040 386080