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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".