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864032 = 25133167
BaseRepresentation
bin11010010111100100000
31121220020012
43102330200
5210122112
630304052
710226021
oct3227440
91556205
10864032
11540184
12358028
13243380
14186c48
15121022
hexd2f20

864032 has 48 divisors (see below), whose sum is σ = 1919232. Its totient is φ = 380160.

The previous prime is 864029. The next prime is 864037. The reversal of 864032 is 230468.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 863989 and 864007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864032.

It is not an unprimeable number, because it can be changed into a prime (864037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12863 + ... + 12929.

It is an arithmetic number, because the mean of its divisors is an integer number (39984).

864032 is a Friedman number, since it can be written as 8*(4+60^3/2), using all its digits and the basic arithmetic operations.

2864032 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 864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959616).

864032 is an abundant number, since it is smaller than the sum of its proper divisors (1055200).

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

864032 is a wasteful number, since it uses less digits than its factorization.

864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 864032 is about 929.5332161897. The cubic root of 864032 is about 95.2452389562.

The spelling of 864032 in words is "eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 67 104 124 134 208 248 268 403 416 496 536 806 871 992 1072 1612 1742 2077 2144 3224 3484 4154 6448 6968 8308 12896 13936 16616 27001 27872 33232 54002 66464 108004 216008 432016 864032