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387040 = 2554159
BaseRepresentation
bin1011110011111100000
3201122220211
41132133200
544341130
612143504
73201253
oct1363740
9648824
10387040
11244875
12167b94
13107224
14a109a
1579a2a
hex5e7e0

387040 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 148480.

The previous prime is 387031. The next prime is 387047. The reversal of 387040 is 40783.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387040.

It is not an unprimeable number, because it can be changed into a prime (387047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6531 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2387040 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 387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

387040 is an abundant number, since it is smaller than the sum of its proper divisors (565520).

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

387040 is a wasteful number, since it uses less digits than its factorization.

387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 387040 is about 622.1253892906. The cubic root of 387040 is about 72.8761269436.

The spelling of 387040 in words is "three hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 59 80 82 118 160 164 205 236 295 328 410 472 590 656 820 944 1180 1312 1640 1888 2360 2419 3280 4720 4838 6560 9440 9676 12095 19352 24190 38704 48380 77408 96760 193520 387040