Search a number
-
+
867204 = 22321317109
BaseRepresentation
bin11010011101110000100
31122001120200
43103232010
5210222304
630330500
710241202
oct3235604
91561520
10867204
115425a8
12359a30
13244950
14188072
15121e39
hexd3b84

867204 has 72 divisors (see below), whose sum is σ = 2522520. Its totient is φ = 248832.

The previous prime is 867203. The next prime is 867211. The reversal of 867204 is 402768.

867204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 705600 = 402^2 + 840^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (867203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7902 + ... + 8010.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2867204 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 867204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261260).

867204 is an abundant number, since it is smaller than the sum of its proper divisors (1655316).

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

867204 is a wasteful number, since it uses less digits than its factorization.

867204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 867204 is about 931.2378858272. The cubic root of 867204 is about 95.3616501317.

The spelling of 867204 in words is "eight hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 109 117 153 156 204 218 221 234 306 327 436 442 468 612 654 663 884 981 1308 1326 1417 1853 1962 1989 2652 2834 3706 3924 3978 4251 5559 5668 7412 7956 8502 11118 12753 16677 17004 22236 24089 25506 33354 48178 51012 66708 72267 96356 144534 216801 289068 433602 867204