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856704 = 2732397
BaseRepresentation
bin11010001001010000000
31121112011210
43101022000
5204403304
630210120
710165452
oct3211200
91545153
10856704
11535722
12353940
1323cc34
141842d2
1511dc89
hexd1280

856704 has 64 divisors (see below), whose sum is σ = 2399040. Its totient is φ = 270336.

The previous prime is 856703. The next prime is 856711. The reversal of 856704 is 407658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 856704.

It is not an unprimeable number, because it can be changed into a prime (856703) 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, 8784 + ... + 8880.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2856704 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 856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199520).

856704 is an abundant number, since it is smaller than the sum of its proper divisors (1542336).

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

856704 is a wasteful number, since it uses less digits than its factorization.

856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 856704 is about 925.5830594820. The cubic root of 856704 is about 94.9752105218.

The spelling of 856704 in words is "eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 128 138 184 192 194 276 291 368 384 388 552 582 736 776 1104 1164 1472 1552 2208 2231 2328 2944 3104 4416 4462 4656 6208 6693 8832 8924 9312 12416 13386 17848 18624 26772 35696 37248 53544 71392 107088 142784 214176 285568 428352 856704