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861084 = 223371767
BaseRepresentation
bin11010010001110011100
31121202012000
43102032130
5210023314
630242300
710214310
oct3221634
91552160
10861084
11538a44
12356390
13241c23
14185b40
15120209
hexd239c

861084 has 96 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 228096.

The previous prime is 861083. The next prime is 861089. The reversal of 861084 is 480168.

861084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (861083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12819 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2861084 is an apocalyptic number.

861084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

861084 is an abundant number, since it is smaller than the sum of its proper divisors (1880676).

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

861084 is a wasteful number, since it uses less digits than its factorization.

861084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 861084 is about 927.9461191255. The cubic root of 861084 is about 95.1367927773.

The spelling of 861084 in words is "eight hundred sixty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 67 68 84 102 108 119 126 134 153 189 201 204 238 252 268 306 357 378 402 459 469 476 603 612 714 756 804 918 938 1071 1139 1206 1407 1428 1809 1836 1876 2142 2278 2412 2814 3213 3417 3618 4221 4284 4556 5628 6426 6834 7236 7973 8442 10251 12663 12852 13668 15946 16884 20502 23919 25326 30753 31892 41004 47838 50652 61506 71757 95676 123012 143514 215271 287028 430542 861084