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864540 = 223351601
BaseRepresentation
bin11010011000100011100
31121220221000
43103010130
5210131130
630310300
710230345
oct3230434
91556830
10864540
115405a6
12358390
13243681
141870cc
15121260
hexd311c

864540 has 48 divisors (see below), whose sum is σ = 2691360. Its totient is φ = 230400.

The previous prime is 864533. The next prime is 864541. The reversal of 864540 is 45468.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864541) by changing a digit.

864540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (56070).

2864540 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 864540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345680).

864540 is an abundant number, since it is smaller than the sum of its proper divisors (1826820).

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

864540 is a wasteful number, since it uses less digits than its factorization.

864540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 864540 is about 929.8064314684. The cubic root of 864540 is about 95.2639014988.

The spelling of 864540 in words is "eight hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1601 3202 4803 6404 8005 9606 14409 16010 19212 24015 28818 32020 43227 48030 57636 72045 86454 96060 144090 172908 216135 288180 432270 864540