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861696 = 29321117
BaseRepresentation
bin11010010011000000000
31121210000200
43102120000
5210033241
630245200
710216143
oct3223000
91553020
10861696
11539450
12356800
132422a4
1418605a
151204b6
hexd2600

861696 has 120 divisors (see below), whose sum is σ = 2872584. Its totient is φ = 245760.

The previous prime is 861691. The next prime is 861701. The reversal of 861696 is 696168.

It is an interprime number because it is at equal distance from previous prime (861691) and next prime (861701).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 861696.

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 861696.

It is not an unprimeable number, because it can be changed into a prime (861691) by changing a digit.

861696 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 11 ways as a sum of consecutive naturals, for example, 50680 + ... + 50696.

2861696 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 861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436292).

861696 is an abundant number, since it is smaller than the sum of its proper divisors (2010888).

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

861696 is a wasteful number, since it uses less digits than its factorization.

861696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 861696 is about 928.2758210791. The cubic root of 861696 is about 95.1593263624.

The spelling of 861696 in words is "eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 128 132 136 144 153 176 187 192 198 204 256 264 272 288 306 352 374 384 396 408 512 528 544 561 576 612 704 748 768 792 816 1056 1088 1122 1152 1224 1408 1496 1536 1584 1632 1683 2112 2176 2244 2304 2448 2816 2992 3168 3264 3366 4224 4352 4488 4608 4896 5632 5984 6336 6528 6732 8448 8704 8976 9792 11968 12672 13056 13464 16896 17952 19584 23936 25344 26112 26928 35904 39168 47872 50688 53856 71808 78336 95744 107712 143616 215424 287232 430848 861696