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864630 = 232513739
BaseRepresentation
bin11010011000101110110
31121221001100
43103011312
5210132010
630310530
710230534
oct3230566
91557040
10864630
11540678
12358446
13243720
14187154
151212c0
hexd3176

864630 has 48 divisors (see below), whose sum is σ = 2424240. Its totient is φ = 212544.

The previous prime is 864629. The next prime is 864631. The reversal of 864630 is 36468.

It is an interprime number because it is at equal distance from previous prime (864629) and next prime (864631).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 864594 and 864603.

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 864630.

It is not an unprimeable number, because it can be changed into a prime (864631) 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 23 ways as a sum of consecutive naturals, for example, 801 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (50505).

2864630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212120).

864630 is an abundant number, since it is smaller than the sum of its proper divisors (1559610).

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

864630 is a wasteful number, since it uses less digits than its factorization.

864630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 864630 is about 929.8548273790. The cubic root of 864630 is about 95.2672070924.

The spelling of 864630 in words is "eight hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 739 1170 1478 2217 3695 4434 6651 7390 9607 11085 13302 19214 22170 28821 33255 48035 57642 66510 86463 96070 144105 172926 288210 432315 864630