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805896 = 233371341
BaseRepresentation
bin11000100110000001000
31111221111000
43010300020
5201242041
625135000
76564360
oct3046010
91457430
10805896
11500533
1232a460
13222a80
1416d9a0
1510dbb6
hexc4c08

805896 has 128 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 207360.

The previous prime is 805891. The next prime is 805901. The reversal of 805896 is 698508.

It is an interprime number because it is at equal distance from previous prime (805891) and next prime (805901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 805896.

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 805896.

It is not an unprimeable number, because it can be changed into a prime (805891) by changing a digit.

805896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19636 + ... + 19676.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2805896 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 805896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

805896 is an abundant number, since it is smaller than the sum of its proper divisors (2016504).

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

805896 is a wasteful number, since it uses less digits than its factorization.

805896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 805896 is about 897.7171046605. The cubic root of 805896 is about 93.0592754270.

The spelling of 805896 in words is "eight hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 41 42 52 54 56 63 72 78 82 84 91 104 108 117 123 126 156 164 168 182 189 216 234 246 252 273 287 312 328 351 364 369 378 468 492 504 533 546 574 702 728 738 756 819 861 936 984 1066 1092 1107 1148 1404 1476 1512 1599 1638 1722 2132 2184 2214 2296 2457 2583 2808 2952 3198 3276 3444 3731 4264 4428 4797 4914 5166 6396 6552 6888 7462 7749 8856 9594 9828 10332 11193 12792 14391 14924 15498 19188 19656 20664 22386 28782 29848 30996 33579 38376 44772 57564 61992 67158 89544 100737 115128 134316 201474 268632 402948 805896